TSTP Solution File: GRP334-1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP334-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun May 5 06:03:17 EDT 2024
% Result : Unsatisfiable 0.21s 0.43s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 34
% Syntax : Number of formulae : 545 ( 118 unt; 0 def)
% Number of atoms : 1614 ( 699 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 2033 ( 964 ~;1060 |; 0 &)
% ( 9 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 4 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 11 ( 9 usr; 10 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 326 ( 326 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1957,plain,
$false,
inference(avatar_sat_refutation,[],[f36,f161,f194,f276,f546,f627,f654,f747,f749,f752,f1628,f1645,f1650,f1654,f1658,f1662,f1668,f1672,f1677,f1688,f1690,f1699,f1868,f1956]) ).
fof(f1956,plain,
( spl0_9
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f1760,f156,f1626]) ).
fof(f1626,plain,
( spl0_9
<=> ! [X6] :
( identity != multiply(identity,X6)
| identity != inverse(X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f156,plain,
( spl0_3
<=> ! [X6] :
( identity != inverse(X6)
| identity != multiply(identity,multiply(X6,identity)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f1760,plain,
( ! [X6] :
( identity != multiply(identity,X6)
| identity != inverse(X6) )
| ~ spl0_3 ),
inference(forward_demodulation,[],[f157,f979]) ).
fof(f979,plain,
! [X0] : multiply(X0,identity) = X0,
inference(superposition,[],[f473,f472]) ).
fof(f472,plain,
! [X0] : multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[],[f55,f2]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_inverse) ).
fof(f55,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f46,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).
fof(f46,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[],[f3,f2]) ).
fof(f3,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity) ).
fof(f473,plain,
! [X0,X1] : multiply(X0,X1) = multiply(inverse(inverse(X0)),X1),
inference(superposition,[],[f55,f55]) ).
fof(f157,plain,
( ! [X6] :
( identity != inverse(X6)
| identity != multiply(identity,multiply(X6,identity)) )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f156]) ).
fof(f1868,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_6
| ~ spl0_7 ),
inference(avatar_contradiction_clause,[],[f1867]) ).
fof(f1867,plain,
( $false
| spl0_1
| ~ spl0_2
| ~ spl0_6
| ~ spl0_7 ),
inference(global_subsumption,[],[f15,f26,f27,f4,f1,f2,f10,f37,f38,f39,f40,f41,f42,f43,f3,f49,f58,f52,f56,f59,f63,f64,f66,f70,f65,f72,f74,f76,f77,f78,f96,f84,f85,f86,f87,f82,f120,f122,f118,f162,f18,f17,f19,f14,f11,f57,f166,f170,f16,f55,f471,f482,f21,f6,f193,f564,f565,f576,f47,f631,f632,f20,f633,f5,f634,f24,f7,f8,f35,f639,f642,f643,f644,f645,f9,f574,f675,f677,f640,f679,f680,f678,f683,f688,f691,f693,f698,f700,f708,f638,f756,f757,f472,f932,f925,f954,f972,f473,f983,f985,f986,f987,f979,f1031,f1016,f1040,f1004,f1054,f1055,f981,f1103,f1082,f982,f1132,f1137,f1076,f1178,f1205,f1305,f1315,f1317,f1319,f1313,f1389,f1343,f1346,f1373,f1483,f1378,f1379,f1381,f1382,f1395,f1501,f1504,f1532,f1540,f1541,f1542,f1543,f1700,f1533,f1701,f1527,f1524,f1702,f1704,f1705,f1508,f1498,f1384,f1477,f1707,f1709,f1710,f1366,f1711,f1716,f1717,f1721,f1722,f1723,f1392,f1724,f1341,f1327,f1318,f1312,f1310,f1306,f1303,f1295,f1730,f1198,f1731,f1190,f1732,f1184,f1179,f1236,f1174,f1136,f1131,f1733,f1115,f1081,f1075,f1735,f1070,f1738,f1044,f1739,f1740,f1014,f1013,f1741,f1742,f1002,f1001,f1743,f974,f953,f952,f1748,f699,f692,f687,f1749,f762,f1750,f717,f682,f1751,f470,f23,f1755,f22,f1756,f761,f13,f1758,f12,f1759,f105,f92,f131,f90,f119,f127,f75,f62,f1773,f1766,f1767,f1779,f1771,f30,f1781,f1803,f1818,f1799,f71,f1844,f1849,f1603,f1866]) ).
fof(f1866,plain,
( identity != inverse(identity)
| spl0_1
| ~ spl0_2
| ~ spl0_6
| ~ spl0_7 ),
inference(forward_demodulation,[],[f1864,f1781]) ).
fof(f1864,plain,
( sk_c6 != inverse(identity)
| spl0_1
| ~ spl0_2
| ~ spl0_6
| ~ spl0_7 ),
inference(superposition,[],[f30,f1603]) ).
fof(f1603,plain,
( identity = sk_c1
| ~ spl0_2
| ~ spl0_6
| ~ spl0_7 ),
inference(forward_demodulation,[],[f1530,f981]) ).
fof(f1530,plain,
( sk_c1 = multiply(sk_c6,inverse(sk_c6))
| ~ spl0_2
| ~ spl0_6
| ~ spl0_7 ),
inference(superposition,[],[f1395,f757]) ).
fof(f1849,plain,
( identity = sk_c7
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f1838,f1]) ).
fof(f1838,plain,
( sk_c7 = multiply(identity,identity)
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f643,f71]) ).
fof(f1844,plain,
( identity = sk_c7
| spl0_1
| ~ spl0_6 ),
inference(forward_demodulation,[],[f1834,f2]) ).
fof(f1834,plain,
( sk_c7 = multiply(inverse(identity),identity)
| spl0_1
| ~ spl0_6 ),
inference(superposition,[],[f574,f71]) ).
fof(f71,plain,
( identity = sk_c5
| spl0_1 ),
inference(superposition,[],[f65,f4]) ).
fof(f1799,plain,
( identity = multiply(sk_c1,identity)
| spl0_1
| ~ spl0_2
| ~ spl0_6
| ~ spl0_7 ),
inference(superposition,[],[f757,f1781]) ).
fof(f1818,plain,
( identity = sk_c5
| spl0_1
| ~ spl0_2
| ~ spl0_6 ),
inference(forward_demodulation,[],[f1797,f1]) ).
fof(f1797,plain,
( sk_c5 = multiply(identity,identity)
| spl0_1
| ~ spl0_2
| ~ spl0_6 ),
inference(superposition,[],[f683,f1781]) ).
fof(f1803,plain,
( identity = inverse(identity)
| spl0_1
| ~ spl0_2
| ~ spl0_6 ),
inference(forward_demodulation,[],[f1802,f1781]) ).
fof(f1802,plain,
( sk_c6 = inverse(identity)
| spl0_1
| ~ spl0_2
| ~ spl0_6 ),
inference(forward_demodulation,[],[f1791,f62]) ).
fof(f1791,plain,
( sk_c5 = inverse(identity)
| spl0_1
| ~ spl0_2
| ~ spl0_6 ),
inference(superposition,[],[f35,f1781]) ).
fof(f1781,plain,
( identity = sk_c6
| spl0_1
| ~ spl0_2
| ~ spl0_6 ),
inference(forward_demodulation,[],[f1772,f2]) ).
fof(f1772,plain,
( sk_c6 = multiply(inverse(sk_c6),sk_c6)
| spl0_1
| ~ spl0_2
| ~ spl0_6 ),
inference(superposition,[],[f693,f62]) ).
fof(f30,plain,
( sk_c6 != inverse(sk_c1)
| spl0_1 ),
inference(avatar_component_clause,[],[f29]) ).
fof(f29,plain,
( spl0_1
<=> sk_c6 = inverse(sk_c1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f1771,plain,
( sk_c6 = multiply(sk_c6,sk_c6)
| spl0_1
| ~ spl0_2
| ~ spl0_6 ),
inference(superposition,[],[f688,f62]) ).
fof(f1779,plain,
( sk_c6 = multiply(sk_c6,sk_c6)
| spl0_1
| ~ spl0_2
| ~ spl0_6 ),
inference(forward_demodulation,[],[f1769,f678]) ).
fof(f1769,plain,
( sk_c7 = multiply(sk_c6,sk_c6)
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f643,f62]) ).
fof(f1767,plain,
( identity = multiply(sk_c6,sk_c6)
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f639,f62]) ).
fof(f1766,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c6,X0)) = X0
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f638,f62]) ).
fof(f1773,plain,
( identity = multiply(sk_c6,sk_c6)
| spl0_1
| ~ spl0_2
| ~ spl0_6 ),
inference(forward_demodulation,[],[f1764,f678]) ).
fof(f1764,plain,
( identity = multiply(sk_c6,sk_c7)
| spl0_1
| ~ spl0_6 ),
inference(superposition,[],[f565,f62]) ).
fof(f62,plain,
( sk_c6 = sk_c5
| spl0_1 ),
inference(superposition,[],[f59,f42]) ).
fof(f75,plain,
( identity = sk_c6
| spl0_1 ),
inference(superposition,[],[f71,f62]) ).
fof(f127,plain,
( sk_c6 = inverse(identity)
| spl0_1 ),
inference(superposition,[],[f40,f119]) ).
fof(f119,plain,
( identity = sk_c3
| spl0_1 ),
inference(superposition,[],[f82,f1]) ).
fof(f90,plain,
( identity = sk_c7
| spl0_1 ),
inference(forward_demodulation,[],[f89,f75]) ).
fof(f89,plain,
( sk_c6 = sk_c7
| spl0_1 ),
inference(forward_demodulation,[],[f88,f62]) ).
fof(f88,plain,
( sk_c7 = sk_c5
| spl0_1 ),
inference(forward_demodulation,[],[f79,f1]) ).
fof(f79,plain,
( sk_c5 = multiply(identity,sk_c7)
| spl0_1 ),
inference(superposition,[],[f4,f75]) ).
fof(f131,plain,
( identity = sk_c4
| spl0_1 ),
inference(forward_demodulation,[],[f130,f75]) ).
fof(f130,plain,
( sk_c6 = sk_c4
| spl0_1 ),
inference(forward_demodulation,[],[f125,f1]) ).
fof(f125,plain,
( sk_c4 = multiply(identity,sk_c6)
| spl0_1 ),
inference(superposition,[],[f43,f119]) ).
fof(f92,plain,
( identity = inverse(identity)
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f91,f75]) ).
fof(f91,plain,
( sk_c6 = inverse(identity)
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f80,f62]) ).
fof(f80,plain,
( sk_c5 = inverse(identity)
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f35,f75]) ).
fof(f105,plain,
( identity = inverse(identity)
| spl0_1 ),
inference(forward_demodulation,[],[f104,f75]) ).
fof(f104,plain,
( sk_c6 = inverse(identity)
| spl0_1 ),
inference(forward_demodulation,[],[f99,f62]) ).
fof(f99,plain,
( sk_c5 = inverse(identity)
| spl0_1 ),
inference(superposition,[],[f38,f90]) ).
fof(f1759,plain,
( sk_c5 = multiply(sk_c6,sk_c4)
| spl0_1 ),
inference(global_subsumption,[],[f15,f26,f27,f4,f1,f2,f10,f30,f38,f39,f40,f41,f42,f43,f3,f49,f58,f52,f56,f59,f63,f64,f62,f65,f72,f74,f71,f76,f77,f75,f96,f84,f85,f86,f87,f90,f105,f82,f120,f122,f119,f131,f18,f17,f19,f14,f11,f16,f55,f471,f482,f21,f6,f47,f20,f5,f24,f7,f8,f9,f472,f932,f925,f954,f972,f473,f983,f985,f986,f987,f979,f1031,f1016,f1040,f1004,f1054,f1055,f981,f1103,f1082,f982,f1132,f1137,f1076,f1178,f1205,f1305,f1315,f1317,f1319,f1313,f1389,f1343,f1346,f1373,f1483,f1378,f1379,f1381,f1382,f1395,f1501,f1504,f1532,f1540,f1541,f1542,f1543,f1702,f1498,f1721,f1723,f1392,f1724,f1341,f1318,f1312,f1306,f1303,f1732,f1179,f1236,f1174,f1136,f1131,f1081,f1075,f1739,f1013,f1741,f1001,f953,f952,f470,f23,f1755,f22,f1756,f13,f1758,f12]) ).
fof(f12,axiom,
( sk_c6 = inverse(sk_c1)
| sk_c5 = multiply(sk_c6,sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).
fof(f1758,plain,
( sk_c4 = multiply(sk_c3,sk_c6)
| spl0_1 ),
inference(global_subsumption,[],[f15,f26,f27,f4,f1,f2,f10,f30,f38,f39,f40,f41,f42,f43,f3,f49,f58,f52,f56,f59,f63,f64,f62,f65,f72,f74,f71,f76,f77,f75,f96,f84,f85,f86,f87,f90,f105,f82,f120,f122,f119,f131,f18,f17,f12,f19,f14,f11,f16,f55,f471,f482,f21,f6,f47,f20,f5,f24,f7,f8,f9,f472,f932,f925,f954,f972,f473,f983,f985,f986,f987,f979,f1031,f1016,f1040,f1004,f1054,f1055,f981,f1103,f1082,f982,f1132,f1137,f1076,f1178,f1205,f1305,f1315,f1317,f1319,f1313,f1389,f1343,f1346,f1373,f1483,f1378,f1379,f1381,f1382,f1395,f1501,f1504,f1532,f1540,f1541,f1542,f1543,f1702,f1498,f1721,f1723,f1392,f1724,f1341,f1318,f1312,f1306,f1303,f1732,f1179,f1236,f1174,f1136,f1131,f1081,f1075,f1739,f1013,f1741,f1001,f953,f952,f470,f23,f1755,f22,f1756,f13]) ).
fof(f13,axiom,
( sk_c6 = inverse(sk_c1)
| sk_c4 = multiply(sk_c3,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).
fof(f761,plain,
( sk_c6 = multiply(inverse(sk_c1),sk_c6)
| ~ spl0_2
| ~ spl0_6
| ~ spl0_7 ),
inference(superposition,[],[f55,f757]) ).
fof(f1756,plain,
( sk_c5 = multiply(sk_c6,sk_c4)
| spl0_1 ),
inference(global_subsumption,[],[f15,f26,f27,f4,f1,f2,f10,f30,f38,f39,f40,f41,f42,f43,f3,f49,f58,f52,f56,f59,f63,f64,f62,f65,f72,f74,f71,f76,f77,f75,f96,f84,f85,f86,f87,f90,f105,f82,f120,f122,f119,f131,f18,f17,f13,f12,f19,f14,f11,f16,f55,f471,f482,f21,f6,f47,f20,f5,f24,f7,f8,f9,f472,f932,f925,f954,f972,f473,f983,f985,f986,f987,f979,f1031,f1016,f1040,f1004,f1054,f1055,f981,f1103,f1082,f982,f1132,f1137,f1076,f1178,f1205,f1305,f1315,f1317,f1319,f1313,f1389,f1343,f1346,f1373,f1483,f1378,f1379,f1381,f1382,f1395,f1501,f1504,f1532,f1540,f1541,f1542,f1543,f1702,f1498,f1721,f1723,f1392,f1724,f1341,f1318,f1312,f1306,f1303,f1732,f1179,f1236,f1174,f1136,f1131,f1081,f1075,f1739,f1013,f1741,f1001,f953,f952,f470,f23,f1755,f22]) ).
fof(f22,axiom,
( sk_c5 = multiply(sk_c6,sk_c4)
| sk_c6 = multiply(sk_c2,sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).
fof(f1755,plain,
( sk_c4 = multiply(sk_c3,sk_c6)
| spl0_1 ),
inference(global_subsumption,[],[f15,f26,f27,f4,f1,f2,f10,f30,f38,f39,f40,f41,f42,f43,f3,f49,f58,f52,f56,f59,f63,f64,f62,f65,f72,f74,f71,f76,f77,f75,f96,f84,f85,f86,f87,f90,f105,f82,f120,f122,f119,f131,f18,f17,f13,f12,f19,f14,f11,f16,f55,f471,f482,f21,f6,f47,f20,f5,f24,f7,f8,f22,f9,f472,f932,f925,f954,f972,f473,f983,f985,f986,f987,f979,f1031,f1016,f1040,f1004,f1054,f1055,f981,f1103,f1082,f982,f1132,f1137,f1076,f1178,f1205,f1305,f1315,f1317,f1319,f1313,f1389,f1343,f1346,f1373,f1483,f1378,f1379,f1381,f1382,f1395,f1501,f1504,f1532,f1540,f1541,f1542,f1543,f1702,f1498,f1721,f1723,f1392,f1724,f1341,f1318,f1312,f1306,f1303,f1732,f1179,f1236,f1174,f1136,f1131,f1081,f1075,f1739,f1013,f1741,f1001,f953,f952,f470,f23]) ).
fof(f23,axiom,
( sk_c4 = multiply(sk_c3,sk_c6)
| sk_c6 = multiply(sk_c2,sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).
fof(f470,plain,
! [X0] : multiply(inverse(identity),X0) = X0,
inference(superposition,[],[f55,f1]) ).
fof(f1751,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(inverse(sk_c5),X0)
| ~ spl0_2
| ~ spl0_6 ),
inference(forward_demodulation,[],[f677,f678]) ).
fof(f682,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(inverse(sk_c5),X0)
| ~ spl0_2 ),
inference(forward_demodulation,[],[f681,f1]) ).
fof(f681,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(inverse(sk_c5),multiply(identity,X0))
| ~ spl0_2 ),
inference(superposition,[],[f3,f640]) ).
fof(f717,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(inverse(sk_c5),X0)
| ~ spl0_2 ),
inference(superposition,[],[f55,f638]) ).
fof(f1750,plain,
( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c6,multiply(sk_c6,X0))
| ~ spl0_2
| ~ spl0_6 ),
inference(forward_demodulation,[],[f47,f678]) ).
fof(f762,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c1,multiply(sk_c6,X0))
| ~ spl0_2
| ~ spl0_6
| ~ spl0_7 ),
inference(superposition,[],[f3,f757]) ).
fof(f1749,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c5,multiply(sk_c5,X0))
| ~ spl0_2
| ~ spl0_6 ),
inference(forward_demodulation,[],[f645,f678]) ).
fof(f687,plain,
( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c6,multiply(sk_c6,X0))
| ~ spl0_2
| ~ spl0_6 ),
inference(superposition,[],[f3,f683]) ).
fof(f692,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c5,multiply(sk_c5,X0))
| ~ spl0_2
| ~ spl0_6 ),
inference(superposition,[],[f3,f688]) ).
fof(f699,plain,
( ! [X0] : multiply(sk_c5,X0) = multiply(inverse(sk_c5),multiply(sk_c6,X0))
| ~ spl0_2
| ~ spl0_6 ),
inference(superposition,[],[f3,f693]) ).
fof(f1748,plain,
( ! [X3,X6,X4] :
( sk_c6 != multiply(X3,sk_c6)
| sk_c6 != inverse(X6)
| sk_c6 != inverse(X3)
| sk_c6 != inverse(X4)
| sk_c5 != multiply(sk_c6,multiply(X6,sk_c6))
| sk_c6 != multiply(X4,sk_c5) )
| ~ spl0_2
| ~ spl0_6 ),
inference(forward_demodulation,[],[f632,f678]) ).
fof(f952,plain,
identity = inverse(identity),
inference(superposition,[],[f925,f472]) ).
fof(f953,plain,
identity = inverse(identity),
inference(superposition,[],[f472,f925]) ).
fof(f974,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(inverse(sk_c5),X0)
| ~ spl0_2 ),
inference(superposition,[],[f473,f35]) ).
fof(f1743,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(inverse(sk_c5),X0)
| ~ spl0_2
| ~ spl0_6 ),
inference(forward_demodulation,[],[f975,f678]) ).
fof(f975,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(inverse(sk_c5),X0)
| ~ spl0_6 ),
inference(superposition,[],[f473,f193]) ).
fof(f1001,plain,
identity = inverse(identity),
inference(superposition,[],[f979,f2]) ).
fof(f1002,plain,
( sk_c6 = inverse(sk_c5)
| ~ spl0_2 ),
inference(superposition,[],[f979,f640]) ).
fof(f1742,plain,
( sk_c6 = inverse(sk_c5)
| ~ spl0_2
| ~ spl0_6 ),
inference(forward_demodulation,[],[f1003,f678]) ).
fof(f1003,plain,
( sk_c7 = inverse(sk_c5)
| ~ spl0_6 ),
inference(superposition,[],[f979,f574]) ).
fof(f1741,plain,
identity = inverse(identity),
inference(forward_demodulation,[],[f1005,f1004]) ).
fof(f1005,plain,
identity = inverse(inverse(inverse(identity))),
inference(superposition,[],[f979,f925]) ).
fof(f1013,plain,
identity = inverse(identity),
inference(superposition,[],[f2,f979]) ).
fof(f1014,plain,
( sk_c6 = inverse(sk_c5)
| ~ spl0_2 ),
inference(superposition,[],[f640,f979]) ).
fof(f1740,plain,
( sk_c6 = inverse(sk_c5)
| ~ spl0_2
| ~ spl0_6 ),
inference(forward_demodulation,[],[f1015,f678]) ).
fof(f1015,plain,
( sk_c7 = inverse(sk_c5)
| ~ spl0_6 ),
inference(superposition,[],[f574,f979]) ).
fof(f1739,plain,
identity = inverse(identity),
inference(forward_demodulation,[],[f1017,f1004]) ).
fof(f1017,plain,
identity = inverse(inverse(inverse(identity))),
inference(superposition,[],[f925,f979]) ).
fof(f1044,plain,
( sk_c6 = inverse(sk_c5)
| ~ spl0_2 ),
inference(superposition,[],[f1004,f35]) ).
fof(f1738,plain,
( sk_c6 = inverse(sk_c5)
| ~ spl0_2
| ~ spl0_6 ),
inference(forward_demodulation,[],[f1045,f678]) ).
fof(f1045,plain,
( sk_c7 = inverse(sk_c5)
| ~ spl0_6 ),
inference(superposition,[],[f1004,f193]) ).
fof(f1070,plain,
( identity = multiply(sk_c6,sk_c5)
| ~ spl0_2 ),
inference(superposition,[],[f981,f35]) ).
fof(f1735,plain,
( identity = multiply(sk_c6,sk_c5)
| ~ spl0_2
| ~ spl0_6 ),
inference(forward_demodulation,[],[f1071,f678]) ).
fof(f1071,plain,
( identity = multiply(sk_c7,sk_c5)
| ~ spl0_6 ),
inference(superposition,[],[f981,f193]) ).
fof(f1075,plain,
identity = inverse(identity),
inference(superposition,[],[f981,f1]) ).
fof(f1081,plain,
identity = inverse(identity),
inference(superposition,[],[f1,f981]) ).
fof(f1115,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c5,X0)) = X0
| ~ spl0_2 ),
inference(superposition,[],[f982,f35]) ).
fof(f1733,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c5,X0)) = X0
| ~ spl0_2
| ~ spl0_6 ),
inference(forward_demodulation,[],[f1116,f678]) ).
fof(f1116,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c5,X0)) = X0
| ~ spl0_6 ),
inference(superposition,[],[f982,f193]) ).
fof(f1131,plain,
! [X0] : multiply(inverse(identity),X0) = X0,
inference(superposition,[],[f982,f1]) ).
fof(f1136,plain,
! [X0] : multiply(inverse(identity),X0) = X0,
inference(superposition,[],[f1,f982]) ).
fof(f1174,plain,
! [X0] : identity = multiply(X0,multiply(inverse(X0),inverse(identity))),
inference(superposition,[],[f1076,f981]) ).
fof(f1236,plain,
! [X0,X1] : identity = multiply(X0,multiply(X1,multiply(inverse(multiply(X0,X1)),inverse(identity)))),
inference(forward_demodulation,[],[f1176,f3]) ).
fof(f1176,plain,
! [X0,X1] : identity = multiply(X0,multiply(multiply(X1,inverse(multiply(X0,X1))),inverse(identity))),
inference(superposition,[],[f1076,f1076]) ).
fof(f1179,plain,
! [X0] : identity = multiply(inverse(X0),multiply(X0,inverse(identity))),
inference(superposition,[],[f1076,f2]) ).
fof(f1184,plain,
( identity = multiply(inverse(sk_c5),multiply(sk_c6,inverse(sk_c5)))
| ~ spl0_2
| ~ spl0_6 ),
inference(superposition,[],[f1076,f693]) ).
fof(f1732,plain,
! [X0] : identity = multiply(inverse(X0),multiply(X0,inverse(identity))),
inference(forward_demodulation,[],[f1186,f1004]) ).
fof(f1186,plain,
! [X0] : identity = multiply(inverse(inverse(inverse(X0))),multiply(X0,inverse(identity))),
inference(superposition,[],[f1076,f925]) ).
fof(f1190,plain,
( identity = multiply(sk_c6,multiply(sk_c6,inverse(sk_c5)))
| ~ spl0_2
| ~ spl0_6 ),
inference(superposition,[],[f1076,f683]) ).
fof(f1731,plain,
( identity = multiply(sk_c6,multiply(sk_c6,inverse(sk_c5)))
| ~ spl0_2
| ~ spl0_6 ),
inference(forward_demodulation,[],[f1191,f678]) ).
fof(f1191,plain,
identity = multiply(sk_c6,multiply(sk_c7,inverse(sk_c5))),
inference(superposition,[],[f1076,f4]) ).
fof(f1198,plain,
( identity = multiply(sk_c5,multiply(sk_c6,inverse(identity)))
| ~ spl0_2 ),
inference(superposition,[],[f1076,f639]) ).
fof(f1730,plain,
( identity = multiply(sk_c5,multiply(sk_c6,inverse(identity)))
| ~ spl0_2
| ~ spl0_6 ),
inference(forward_demodulation,[],[f1199,f678]) ).
fof(f1199,plain,
( identity = multiply(sk_c5,multiply(sk_c7,inverse(identity)))
| ~ spl0_6 ),
inference(superposition,[],[f1076,f565]) ).
fof(f1295,plain,
( identity = multiply(sk_c1,identity)
| ~ spl0_2
| ~ spl0_6
| ~ spl0_7 ),
inference(forward_demodulation,[],[f1203,f981]) ).
fof(f1203,plain,
( identity = multiply(sk_c1,multiply(sk_c6,inverse(sk_c6)))
| ~ spl0_2
| ~ spl0_6
| ~ spl0_7 ),
inference(superposition,[],[f1076,f757]) ).
fof(f1303,plain,
identity = inverse(identity),
inference(forward_demodulation,[],[f1208,f981]) ).
fof(f1208,plain,
! [X0] : identity = inverse(multiply(X0,inverse(X0))),
inference(superposition,[],[f1076,f982]) ).
fof(f1306,plain,
identity = inverse(identity),
inference(forward_demodulation,[],[f1211,f2]) ).
fof(f1211,plain,
! [X0] : identity = inverse(multiply(inverse(X0),X0)),
inference(superposition,[],[f1076,f55]) ).
fof(f1310,plain,
( identity = inverse(identity)
| ~ spl0_2 ),
inference(forward_demodulation,[],[f1215,f639]) ).
fof(f1215,plain,
( identity = inverse(multiply(sk_c5,sk_c6))
| ~ spl0_2 ),
inference(superposition,[],[f1076,f638]) ).
fof(f1312,plain,
identity = inverse(identity),
inference(forward_demodulation,[],[f1217,f981]) ).
fof(f1217,plain,
! [X0] : identity = inverse(multiply(X0,inverse(X0))),
inference(superposition,[],[f982,f1076]) ).
fof(f1318,plain,
identity = inverse(identity),
inference(forward_demodulation,[],[f1222,f2]) ).
fof(f1222,plain,
! [X0] : identity = inverse(multiply(inverse(X0),X0)),
inference(superposition,[],[f55,f1076]) ).
fof(f1327,plain,
( identity = inverse(identity)
| ~ spl0_2 ),
inference(forward_demodulation,[],[f1228,f639]) ).
fof(f1228,plain,
( identity = inverse(multiply(sk_c5,sk_c6))
| ~ spl0_2 ),
inference(superposition,[],[f638,f1076]) ).
fof(f1341,plain,
! [X0] : inverse(X0) = multiply(inverse(X0),inverse(identity)),
inference(superposition,[],[f1313,f981]) ).
fof(f1724,plain,
! [X0] : inverse(X0) = multiply(inverse(X0),inverse(identity)),
inference(forward_demodulation,[],[f1344,f1313]) ).
fof(f1344,plain,
! [X0,X1] : inverse(X0) = multiply(multiply(X1,inverse(multiply(X0,X1))),inverse(identity)),
inference(superposition,[],[f1313,f1076]) ).
fof(f1392,plain,
identity = inverse(identity),
inference(forward_demodulation,[],[f1345,f981]) ).
fof(f1345,plain,
! [X0] : inverse(identity) = multiply(X0,inverse(X0)),
inference(superposition,[],[f1313,f1]) ).
fof(f1723,plain,
! [X0] : multiply(X0,inverse(identity)) = X0,
inference(forward_demodulation,[],[f1347,f1004]) ).
fof(f1347,plain,
! [X0] : inverse(inverse(X0)) = multiply(X0,inverse(identity)),
inference(superposition,[],[f1313,f2]) ).
fof(f1722,plain,
( sk_c5 = multiply(sk_c6,inverse(sk_c5))
| ~ spl0_2
| ~ spl0_6 ),
inference(forward_demodulation,[],[f1352,f1004]) ).
fof(f1352,plain,
( inverse(inverse(sk_c5)) = multiply(sk_c6,inverse(sk_c5))
| ~ spl0_2
| ~ spl0_6 ),
inference(superposition,[],[f1313,f693]) ).
fof(f1721,plain,
! [X0] : multiply(X0,inverse(identity)) = X0,
inference(forward_demodulation,[],[f1720,f1004]) ).
fof(f1720,plain,
! [X0] : inverse(inverse(X0)) = multiply(X0,inverse(identity)),
inference(forward_demodulation,[],[f1354,f1004]) ).
fof(f1354,plain,
! [X0] : inverse(inverse(inverse(inverse(X0)))) = multiply(X0,inverse(identity)),
inference(superposition,[],[f1313,f925]) ).
fof(f1717,plain,
( sk_c5 = multiply(sk_c6,inverse(sk_c5))
| ~ spl0_2
| ~ spl0_6 ),
inference(forward_demodulation,[],[f1358,f35]) ).
fof(f1358,plain,
( inverse(sk_c6) = multiply(sk_c6,inverse(sk_c5))
| ~ spl0_2
| ~ spl0_6 ),
inference(superposition,[],[f1313,f683]) ).
fof(f1716,plain,
( sk_c5 = multiply(sk_c6,inverse(sk_c5))
| ~ spl0_2
| ~ spl0_6 ),
inference(forward_demodulation,[],[f1715,f35]) ).
fof(f1715,plain,
( inverse(sk_c6) = multiply(sk_c6,inverse(sk_c5))
| ~ spl0_2
| ~ spl0_6 ),
inference(forward_demodulation,[],[f1359,f678]) ).
fof(f1359,plain,
inverse(sk_c6) = multiply(sk_c7,inverse(sk_c5)),
inference(superposition,[],[f1313,f4]) ).
fof(f1711,plain,
( sk_c6 = inverse(sk_c5)
| ~ spl0_2 ),
inference(forward_demodulation,[],[f1365,f1395]) ).
fof(f1365,plain,
( ! [X0] : inverse(sk_c5) = multiply(multiply(sk_c6,X0),inverse(X0))
| ~ spl0_2 ),
inference(superposition,[],[f1313,f638]) ).
fof(f1366,plain,
( inverse(sk_c5) = multiply(sk_c6,inverse(identity))
| ~ spl0_2 ),
inference(superposition,[],[f1313,f639]) ).
fof(f1710,plain,
( inverse(sk_c5) = multiply(sk_c6,inverse(identity))
| ~ spl0_2
| ~ spl0_6 ),
inference(forward_demodulation,[],[f1367,f678]) ).
fof(f1367,plain,
( inverse(sk_c5) = multiply(sk_c7,inverse(identity))
| ~ spl0_6 ),
inference(superposition,[],[f1313,f565]) ).
fof(f1709,plain,
( sk_c6 = inverse(sk_c5)
| ~ spl0_2
| ~ spl0_6 ),
inference(forward_demodulation,[],[f1708,f678]) ).
fof(f1708,plain,
( sk_c7 = inverse(sk_c5)
| ~ spl0_2
| ~ spl0_6 ),
inference(forward_demodulation,[],[f1467,f643]) ).
fof(f1467,plain,
( multiply(sk_c5,sk_c5) = inverse(sk_c5)
| ~ spl0_2
| ~ spl0_6 ),
inference(forward_demodulation,[],[f1368,f35]) ).
fof(f1368,plain,
( inverse(sk_c5) = multiply(sk_c5,inverse(sk_c6))
| ~ spl0_2
| ~ spl0_6 ),
inference(superposition,[],[f1313,f688]) ).
fof(f1707,plain,
( sk_c6 = inverse(sk_c5)
| ~ spl0_2
| ~ spl0_6 ),
inference(forward_demodulation,[],[f1706,f678]) ).
fof(f1706,plain,
( sk_c7 = inverse(sk_c5)
| ~ spl0_2
| ~ spl0_6 ),
inference(forward_demodulation,[],[f1470,f643]) ).
fof(f1470,plain,
( multiply(sk_c5,sk_c5) = inverse(sk_c5)
| ~ spl0_2
| ~ spl0_6 ),
inference(forward_demodulation,[],[f1369,f193]) ).
fof(f1369,plain,
( inverse(sk_c5) = multiply(sk_c5,inverse(sk_c7))
| ~ spl0_2 ),
inference(superposition,[],[f1313,f643]) ).
fof(f1477,plain,
( identity = inverse(sk_c1)
| ~ spl0_2
| ~ spl0_6
| ~ spl0_7 ),
inference(forward_demodulation,[],[f1371,f981]) ).
fof(f1371,plain,
( inverse(sk_c1) = multiply(sk_c6,inverse(sk_c6))
| ~ spl0_2
| ~ spl0_6
| ~ spl0_7 ),
inference(superposition,[],[f1313,f757]) ).
fof(f1384,plain,
( ! [X0] : multiply(sk_c5,inverse(X0)) = inverse(multiply(X0,sk_c6))
| ~ spl0_2 ),
inference(superposition,[],[f638,f1313]) ).
fof(f1498,plain,
! [X0] : multiply(X0,inverse(identity)) = X0,
inference(superposition,[],[f1395,f979]) ).
fof(f1508,plain,
( inverse(sk_c5) = multiply(sk_c6,inverse(identity))
| ~ spl0_2 ),
inference(superposition,[],[f1395,f640]) ).
fof(f1705,plain,
( inverse(sk_c5) = multiply(sk_c6,inverse(identity))
| ~ spl0_2
| ~ spl0_6 ),
inference(forward_demodulation,[],[f1509,f678]) ).
fof(f1509,plain,
( inverse(sk_c5) = multiply(sk_c7,inverse(identity))
| ~ spl0_6 ),
inference(superposition,[],[f1395,f574]) ).
fof(f1704,plain,
( sk_c6 = inverse(sk_c5)
| ~ spl0_2
| ~ spl0_6 ),
inference(forward_demodulation,[],[f1703,f678]) ).
fof(f1703,plain,
( sk_c7 = inverse(sk_c5)
| ~ spl0_2
| ~ spl0_6 ),
inference(forward_demodulation,[],[f1561,f643]) ).
fof(f1561,plain,
( multiply(sk_c5,sk_c5) = inverse(sk_c5)
| ~ spl0_2
| ~ spl0_6 ),
inference(forward_demodulation,[],[f1511,f35]) ).
fof(f1511,plain,
( inverse(sk_c5) = multiply(sk_c5,inverse(sk_c6))
| ~ spl0_2
| ~ spl0_6 ),
inference(superposition,[],[f1395,f693]) ).
fof(f1702,plain,
! [X0] : multiply(X0,inverse(identity)) = X0,
inference(forward_demodulation,[],[f1512,f1004]) ).
fof(f1512,plain,
! [X0] : inverse(inverse(X0)) = multiply(X0,inverse(identity)),
inference(superposition,[],[f1395,f472]) ).
fof(f1524,plain,
( ! [X0] : sk_c5 = multiply(X0,inverse(multiply(sk_c6,X0)))
| ~ spl0_2 ),
inference(superposition,[],[f1395,f638]) ).
fof(f1527,plain,
( sk_c5 = multiply(sk_c6,inverse(sk_c5))
| ~ spl0_2
| ~ spl0_6 ),
inference(superposition,[],[f1395,f688]) ).
fof(f1701,plain,
( sk_c5 = multiply(sk_c6,inverse(sk_c5))
| ~ spl0_2
| ~ spl0_6 ),
inference(forward_demodulation,[],[f1528,f678]) ).
fof(f1528,plain,
( sk_c5 = multiply(sk_c7,inverse(sk_c5))
| ~ spl0_2 ),
inference(superposition,[],[f1395,f643]) ).
fof(f1533,plain,
( ! [X0] : multiply(multiply(X0,sk_c6),sk_c5) = X0
| ~ spl0_2 ),
inference(superposition,[],[f1395,f35]) ).
fof(f1700,plain,
( ! [X0] : multiply(multiply(X0,sk_c6),sk_c5) = X0
| ~ spl0_2
| ~ spl0_6 ),
inference(forward_demodulation,[],[f1534,f678]) ).
fof(f1534,plain,
( ! [X0] : multiply(multiply(X0,sk_c7),sk_c5) = X0
| ~ spl0_6 ),
inference(superposition,[],[f1395,f193]) ).
fof(f1543,plain,
! [X2,X0,X1] : multiply(multiply(X0,X1),multiply(inverse(X1),X2)) = multiply(X0,X2),
inference(superposition,[],[f3,f1395]) ).
fof(f1542,plain,
! [X0,X1] : inverse(X1) = multiply(inverse(multiply(X0,X1)),X0),
inference(superposition,[],[f55,f1395]) ).
fof(f1541,plain,
! [X0,X1] : identity = multiply(multiply(X0,X1),multiply(inverse(X1),inverse(X0))),
inference(superposition,[],[f1076,f1395]) ).
fof(f1540,plain,
! [X0,X1] : inverse(multiply(X0,X1)) = multiply(inverse(X1),inverse(X0)),
inference(superposition,[],[f1313,f1395]) ).
fof(f1532,plain,
! [X0,X1] : multiply(multiply(X1,inverse(X0)),X0) = X1,
inference(superposition,[],[f1395,f1004]) ).
fof(f1504,plain,
! [X2,X0,X1] : multiply(X0,X1) = multiply(multiply(X0,multiply(X1,X2)),inverse(X2)),
inference(superposition,[],[f1395,f3]) ).
fof(f1501,plain,
! [X0,X1] : multiply(X1,inverse(multiply(inverse(X0),X1))) = X0,
inference(superposition,[],[f1395,f982]) ).
fof(f1395,plain,
! [X0,X1] : multiply(multiply(X0,X1),inverse(X1)) = X0,
inference(forward_demodulation,[],[f1348,f1004]) ).
fof(f1348,plain,
! [X0,X1] : inverse(inverse(X0)) = multiply(multiply(X0,X1),inverse(X1)),
inference(superposition,[],[f1313,f55]) ).
fof(f1382,plain,
! [X0,X1] : inverse(multiply(X1,inverse(X0))) = multiply(X0,inverse(X1)),
inference(superposition,[],[f982,f1313]) ).
fof(f1381,plain,
! [X2,X0,X1] : inverse(X2) = multiply(X0,multiply(X1,inverse(multiply(X2,multiply(X0,X1))))),
inference(superposition,[],[f3,f1313]) ).
fof(f1379,plain,
! [X2,X0,X1] : multiply(X0,multiply(inverse(multiply(X1,X0)),X2)) = multiply(inverse(X1),X2),
inference(superposition,[],[f3,f1313]) ).
fof(f1378,plain,
! [X0,X1] : inverse(multiply(X1,X0)) = multiply(inverse(X0),inverse(X1)),
inference(superposition,[],[f55,f1313]) ).
fof(f1483,plain,
! [X0,X1] : identity = multiply(X0,multiply(inverse(multiply(X1,X0)),X1)),
inference(forward_demodulation,[],[f1377,f1004]) ).
fof(f1377,plain,
! [X0,X1] : identity = multiply(X0,multiply(inverse(multiply(X1,X0)),inverse(inverse(X1)))),
inference(superposition,[],[f1076,f1313]) ).
fof(f1373,plain,
! [X2,X0,X1] : inverse(X2) = multiply(X0,multiply(X1,inverse(multiply(X2,multiply(X0,X1))))),
inference(superposition,[],[f1313,f3]) ).
fof(f1346,plain,
! [X2,X0,X1] : inverse(multiply(X0,X1)) = multiply(X2,inverse(multiply(X0,multiply(X1,X2)))),
inference(superposition,[],[f1313,f3]) ).
fof(f1343,plain,
! [X0,X1] : inverse(X0) = multiply(multiply(inverse(X0),X1),inverse(X1)),
inference(superposition,[],[f1313,f982]) ).
fof(f1389,plain,
! [X0,X1] : inverse(X0) = multiply(inverse(multiply(X1,X0)),X1),
inference(forward_demodulation,[],[f1342,f1004]) ).
fof(f1342,plain,
! [X0,X1] : inverse(X0) = multiply(inverse(multiply(X1,X0)),inverse(inverse(X1))),
inference(superposition,[],[f1313,f1313]) ).
fof(f1313,plain,
! [X0,X1] : inverse(X0) = multiply(X1,inverse(multiply(X0,X1))),
inference(forward_demodulation,[],[f1218,f979]) ).
fof(f1218,plain,
! [X0,X1] : multiply(inverse(X0),identity) = multiply(X1,inverse(multiply(X0,X1))),
inference(superposition,[],[f55,f1076]) ).
fof(f1319,plain,
! [X0,X1] : multiply(X1,inverse(multiply(inverse(X0),X1))) = X0,
inference(forward_demodulation,[],[f1223,f979]) ).
fof(f1223,plain,
! [X0,X1] : multiply(X0,identity) = multiply(X1,inverse(multiply(inverse(X0),X1))),
inference(superposition,[],[f982,f1076]) ).
fof(f1317,plain,
! [X2,X0,X1] : identity = multiply(X0,multiply(X1,multiply(X2,inverse(multiply(X0,multiply(X1,X2)))))),
inference(forward_demodulation,[],[f1221,f3]) ).
fof(f1221,plain,
! [X2,X0,X1] : identity = multiply(X0,multiply(X1,multiply(X2,inverse(multiply(multiply(X0,X1),X2))))),
inference(superposition,[],[f3,f1076]) ).
fof(f1315,plain,
! [X2,X0,X1] : multiply(X0,multiply(X1,multiply(inverse(multiply(X0,X1)),X2))) = X2,
inference(forward_demodulation,[],[f1314,f1]) ).
fof(f1314,plain,
! [X2,X0,X1] : multiply(identity,X2) = multiply(X0,multiply(X1,multiply(inverse(multiply(X0,X1)),X2))),
inference(forward_demodulation,[],[f1219,f3]) ).
fof(f1219,plain,
! [X2,X0,X1] : multiply(identity,X2) = multiply(X0,multiply(multiply(X1,inverse(multiply(X0,X1))),X2)),
inference(superposition,[],[f3,f1076]) ).
fof(f1305,plain,
! [X2,X0,X1] : identity = multiply(X0,multiply(X1,multiply(X2,inverse(multiply(X0,multiply(X1,X2)))))),
inference(forward_demodulation,[],[f1210,f3]) ).
fof(f1210,plain,
! [X2,X0,X1] : identity = multiply(X0,multiply(X1,multiply(X2,inverse(multiply(multiply(X0,X1),X2))))),
inference(superposition,[],[f1076,f3]) ).
fof(f1205,plain,
! [X2,X0,X1] : identity = multiply(X2,multiply(X0,multiply(X1,inverse(multiply(X2,multiply(X0,X1)))))),
inference(superposition,[],[f1076,f3]) ).
fof(f1178,plain,
! [X2,X0,X1] : identity = multiply(multiply(X0,X1),multiply(X2,inverse(multiply(X0,multiply(X1,X2))))),
inference(superposition,[],[f1076,f3]) ).
fof(f1076,plain,
! [X0,X1] : identity = multiply(X0,multiply(X1,inverse(multiply(X0,X1)))),
inference(superposition,[],[f981,f3]) ).
fof(f1137,plain,
! [X2,X0,X1] : multiply(X0,multiply(X1,multiply(inverse(multiply(X0,X1)),X2))) = X2,
inference(superposition,[],[f3,f982]) ).
fof(f1132,plain,
! [X2,X0,X1] : multiply(X0,multiply(X1,multiply(inverse(multiply(X0,X1)),X2))) = X2,
inference(superposition,[],[f982,f3]) ).
fof(f982,plain,
! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(superposition,[],[f473,f55]) ).
fof(f1082,plain,
! [X0,X1] : identity = multiply(X0,multiply(X1,inverse(multiply(X0,X1)))),
inference(superposition,[],[f3,f981]) ).
fof(f1103,plain,
! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(forward_demodulation,[],[f1080,f1]) ).
fof(f1080,plain,
! [X0,X1] : multiply(identity,X1) = multiply(X0,multiply(inverse(X0),X1)),
inference(superposition,[],[f3,f981]) ).
fof(f981,plain,
! [X0] : identity = multiply(X0,inverse(X0)),
inference(superposition,[],[f473,f2]) ).
fof(f1055,plain,
! [X0] : identity = multiply(X0,inverse(X0)),
inference(superposition,[],[f2,f1004]) ).
fof(f1054,plain,
! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(superposition,[],[f55,f1004]) ).
fof(f1004,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(superposition,[],[f979,f472]) ).
fof(f1040,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(forward_demodulation,[],[f1018,f979]) ).
fof(f1018,plain,
! [X0] : multiply(X0,identity) = inverse(inverse(X0)),
inference(superposition,[],[f473,f979]) ).
fof(f1016,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(superposition,[],[f472,f979]) ).
fof(f1031,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(forward_demodulation,[],[f1006,f979]) ).
fof(f1006,plain,
! [X0] : multiply(X0,identity) = inverse(inverse(X0)),
inference(superposition,[],[f979,f473]) ).
fof(f987,plain,
! [X0,X1] : multiply(inverse(inverse(inverse(X0))),multiply(X0,X1)) = X1,
inference(superposition,[],[f55,f473]) ).
fof(f986,plain,
! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(superposition,[],[f55,f473]) ).
fof(f985,plain,
! [X0] : identity = multiply(X0,inverse(X0)),
inference(superposition,[],[f2,f473]) ).
fof(f983,plain,
! [X0] : multiply(X0,identity) = X0,
inference(superposition,[],[f472,f473]) ).
fof(f972,plain,
! [X0,X1] : multiply(inverse(inverse(inverse(X0))),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f955,f1]) ).
fof(f955,plain,
! [X0,X1] : multiply(identity,X1) = multiply(inverse(inverse(inverse(X0))),multiply(X0,X1)),
inference(superposition,[],[f3,f925]) ).
fof(f954,plain,
! [X0] : multiply(inverse(inverse(inverse(inverse(X0)))),identity) = X0,
inference(superposition,[],[f55,f925]) ).
fof(f925,plain,
! [X0] : identity = multiply(inverse(inverse(inverse(X0))),X0),
inference(superposition,[],[f55,f472]) ).
fof(f932,plain,
! [X0,X1] : multiply(X0,X1) = multiply(inverse(inverse(X0)),X1),
inference(forward_demodulation,[],[f926,f1]) ).
fof(f926,plain,
! [X0,X1] : multiply(X0,X1) = multiply(inverse(inverse(X0)),multiply(identity,X1)),
inference(superposition,[],[f3,f472]) ).
fof(f757,plain,
( sk_c6 = multiply(sk_c1,sk_c6)
| ~ spl0_2
| ~ spl0_6
| ~ spl0_7 ),
inference(forward_demodulation,[],[f649,f678]) ).
fof(f649,plain,
( sk_c7 = multiply(sk_c1,sk_c6)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f647]) ).
fof(f647,plain,
( spl0_7
<=> sk_c7 = multiply(sk_c1,sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f756,plain,
( sk_c6 = multiply(sk_c1,sk_c6)
| sk_c5 = multiply(sk_c6,sk_c4)
| ~ spl0_2
| ~ spl0_6 ),
inference(forward_demodulation,[],[f7,f678]) ).
fof(f638,plain,
( ! [X0] : multiply(sk_c5,multiply(sk_c6,X0)) = X0
| ~ spl0_2 ),
inference(superposition,[],[f55,f35]) ).
fof(f708,plain,
( ! [X0] : multiply(sk_c5,multiply(sk_c6,X0)) = X0
| ~ spl0_2
| ~ spl0_6 ),
inference(forward_demodulation,[],[f576,f678]) ).
fof(f700,plain,
( ! [X0] : multiply(sk_c5,multiply(sk_c6,X0)) = X0
| ~ spl0_2
| ~ spl0_6 ),
inference(forward_demodulation,[],[f564,f678]) ).
fof(f698,plain,
( sk_c6 = multiply(inverse(inverse(sk_c5)),sk_c5)
| ~ spl0_2
| ~ spl0_6 ),
inference(superposition,[],[f55,f693]) ).
fof(f693,plain,
( sk_c5 = multiply(inverse(sk_c5),sk_c6)
| ~ spl0_2
| ~ spl0_6 ),
inference(forward_demodulation,[],[f644,f678]) ).
fof(f691,plain,
( sk_c5 = multiply(inverse(sk_c5),sk_c6)
| ~ spl0_2
| ~ spl0_6 ),
inference(superposition,[],[f55,f688]) ).
fof(f688,plain,
( sk_c6 = multiply(sk_c5,sk_c5)
| ~ spl0_2
| ~ spl0_6 ),
inference(forward_demodulation,[],[f686,f35]) ).
fof(f686,plain,
( sk_c6 = multiply(inverse(sk_c6),sk_c5)
| ~ spl0_2
| ~ spl0_6 ),
inference(superposition,[],[f55,f683]) ).
fof(f683,plain,
( sk_c5 = multiply(sk_c6,sk_c6)
| ~ spl0_2
| ~ spl0_6 ),
inference(superposition,[],[f4,f678]) ).
fof(f678,plain,
( sk_c6 = sk_c7
| ~ spl0_2
| ~ spl0_6 ),
inference(superposition,[],[f640,f574]) ).
fof(f680,plain,
( identity = multiply(inverse(inverse(sk_c5)),sk_c6)
| ~ spl0_2 ),
inference(superposition,[],[f55,f640]) ).
fof(f679,plain,
( sk_c6 = sk_c7
| ~ spl0_2
| ~ spl0_6 ),
inference(superposition,[],[f574,f640]) ).
fof(f640,plain,
( sk_c6 = multiply(inverse(sk_c5),identity)
| ~ spl0_2 ),
inference(superposition,[],[f55,f639]) ).
fof(f677,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(inverse(sk_c5),X0)
| ~ spl0_6 ),
inference(forward_demodulation,[],[f676,f1]) ).
fof(f676,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(inverse(sk_c5),multiply(identity,X0))
| ~ spl0_6 ),
inference(superposition,[],[f3,f574]) ).
fof(f675,plain,
( identity = multiply(inverse(inverse(sk_c5)),sk_c7)
| ~ spl0_6 ),
inference(superposition,[],[f55,f574]) ).
fof(f574,plain,
( sk_c7 = multiply(inverse(sk_c5),identity)
| ~ spl0_6 ),
inference(superposition,[],[f55,f565]) ).
fof(f9,axiom,
( sk_c6 = inverse(sk_c3)
| sk_c7 = multiply(sk_c1,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
fof(f645,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c5,multiply(sk_c5,X0))
| ~ spl0_2 ),
inference(superposition,[],[f3,f643]) ).
fof(f644,plain,
( sk_c5 = multiply(inverse(sk_c5),sk_c7)
| ~ spl0_2 ),
inference(superposition,[],[f55,f643]) ).
fof(f643,plain,
( sk_c7 = multiply(sk_c5,sk_c5)
| ~ spl0_2 ),
inference(forward_demodulation,[],[f482,f35]) ).
fof(f642,plain,
( ! [X0] : multiply(sk_c5,multiply(sk_c6,X0)) = X0
| ~ spl0_2 ),
inference(forward_demodulation,[],[f641,f1]) ).
fof(f641,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c5,multiply(sk_c6,X0))
| ~ spl0_2 ),
inference(superposition,[],[f3,f639]) ).
fof(f639,plain,
( identity = multiply(sk_c5,sk_c6)
| ~ spl0_2 ),
inference(superposition,[],[f2,f35]) ).
fof(f35,plain,
( sk_c5 = inverse(sk_c6)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f33]) ).
fof(f33,plain,
( spl0_2
<=> sk_c5 = inverse(sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f8,axiom,
( sk_c4 = multiply(sk_c3,sk_c6)
| sk_c7 = multiply(sk_c1,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
fof(f7,axiom,
( sk_c7 = multiply(sk_c1,sk_c6)
| sk_c5 = multiply(sk_c6,sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
fof(f24,axiom,
( sk_c6 = inverse(sk_c3)
| sk_c6 = multiply(sk_c2,sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
fof(f634,plain,
( sk_c5 = inverse(sk_c6)
| ~ spl0_2 ),
inference(global_subsumption,[],[f15,f26,f27,f4,f1,f2,f10,f35,f37,f3,f162,f18,f17,f13,f12,f19,f14,f11,f57,f166,f170,f16,f55,f471,f472,f473,f482,f470,f23,f22,f8,f7,f24,f21,f6,f47,f9,f20,f633,f5]) ).
fof(f5,axiom,
( sk_c5 = inverse(sk_c6)
| sk_c7 = multiply(sk_c1,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
fof(f633,plain,
( sk_c5 = inverse(sk_c6)
| ~ spl0_2 ),
inference(global_subsumption,[],[f15,f5,f26,f27,f4,f1,f2,f10,f35,f37,f3,f162,f18,f17,f13,f12,f19,f14,f11,f57,f166,f170,f16,f55,f471,f472,f473,f482,f470,f23,f22,f8,f7,f24,f21,f6,f47,f9,f20]) ).
fof(f20,axiom,
( sk_c5 = inverse(sk_c6)
| sk_c6 = multiply(sk_c2,sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
fof(f632,plain,
( ! [X3,X6,X4] :
( sk_c6 != inverse(X6)
| sk_c6 != inverse(X3)
| sk_c6 != inverse(X4)
| sk_c7 != multiply(X3,sk_c6)
| sk_c5 != multiply(sk_c6,multiply(X6,sk_c6))
| sk_c6 != multiply(X4,sk_c5) )
| ~ spl0_2
| ~ spl0_6 ),
inference(global_subsumption,[],[f15,f5,f26,f27,f4,f1,f2,f10,f35,f37,f3,f162,f18,f17,f13,f12,f19,f14,f11,f57,f166,f170,f16,f20,f55,f471,f472,f473,f482,f470,f23,f22,f8,f7,f24,f21,f6,f193,f564,f565,f574,f576,f47,f9,f631]) ).
fof(f631,plain,
( ! [X3,X6,X4] :
( sk_c5 != inverse(sk_c6)
| sk_c6 != inverse(X6)
| sk_c6 != inverse(X3)
| sk_c6 != inverse(X4)
| sk_c7 != multiply(X3,sk_c6)
| sk_c5 != multiply(sk_c6,multiply(X6,sk_c6))
| sk_c6 != multiply(X4,sk_c5) )
| ~ spl0_6 ),
inference(subsumption_resolution,[],[f27,f193]) ).
fof(f47,plain,
! [X0] : multiply(sk_c6,multiply(sk_c7,X0)) = multiply(sk_c5,X0),
inference(superposition,[],[f3,f4]) ).
fof(f576,plain,
( ! [X0] : multiply(sk_c5,multiply(sk_c7,X0)) = X0
| ~ spl0_6 ),
inference(forward_demodulation,[],[f575,f1]) ).
fof(f575,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c5,multiply(sk_c7,X0))
| ~ spl0_6 ),
inference(superposition,[],[f3,f565]) ).
fof(f565,plain,
( identity = multiply(sk_c5,sk_c7)
| ~ spl0_6 ),
inference(superposition,[],[f2,f193]) ).
fof(f564,plain,
( ! [X0] : multiply(sk_c5,multiply(sk_c7,X0)) = X0
| ~ spl0_6 ),
inference(superposition,[],[f55,f193]) ).
fof(f193,plain,
( sk_c5 = inverse(sk_c7)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f191]) ).
fof(f191,plain,
( spl0_6
<=> sk_c5 = inverse(sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f6,axiom,
( sk_c5 = inverse(sk_c7)
| sk_c7 = multiply(sk_c1,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
fof(f21,axiom,
( sk_c5 = inverse(sk_c7)
| sk_c6 = multiply(sk_c2,sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
fof(f482,plain,
sk_c7 = multiply(inverse(sk_c6),sk_c5),
inference(superposition,[],[f55,f4]) ).
fof(f471,plain,
! [X2,X0,X1] : multiply(inverse(multiply(X0,X1)),multiply(X0,multiply(X1,X2))) = X2,
inference(superposition,[],[f55,f3]) ).
fof(f16,axiom,
( sk_c5 = inverse(sk_c7)
| sk_c6 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
fof(f170,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c5,multiply(sk_c5,X0))
| ~ spl0_2 ),
inference(superposition,[],[f3,f166]) ).
fof(f166,plain,
( sk_c7 = multiply(sk_c5,sk_c5)
| ~ spl0_2 ),
inference(superposition,[],[f57,f4]) ).
fof(f57,plain,
( ! [X0] : multiply(sk_c5,multiply(sk_c6,X0)) = X0
| ~ spl0_2 ),
inference(forward_demodulation,[],[f50,f1]) ).
fof(f50,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c5,multiply(sk_c6,X0))
| ~ spl0_2 ),
inference(superposition,[],[f3,f37]) ).
fof(f11,axiom,
( sk_c5 = inverse(sk_c7)
| sk_c6 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
fof(f14,axiom,
( sk_c6 = inverse(sk_c3)
| sk_c6 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
fof(f19,axiom,
( sk_c6 = inverse(sk_c3)
| sk_c6 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
fof(f17,axiom,
( sk_c6 = inverse(sk_c2)
| sk_c5 = multiply(sk_c6,sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
fof(f18,axiom,
( sk_c6 = inverse(sk_c2)
| sk_c4 = multiply(sk_c3,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).
fof(f162,plain,
( ! [X3,X6,X4] :
( sk_c5 != inverse(sk_c7)
| sk_c6 != inverse(X6)
| sk_c6 != inverse(X3)
| sk_c6 != inverse(X4)
| sk_c7 != multiply(X3,sk_c6)
| sk_c5 != multiply(sk_c6,multiply(X6,sk_c6))
| sk_c6 != multiply(X4,sk_c5) )
| ~ spl0_2 ),
inference(subsumption_resolution,[],[f27,f35]) ).
fof(f118,plain,
( ! [X3,X6,X4] :
( identity != multiply(X3,identity)
| identity != inverse(X4)
| identity != inverse(X3)
| identity != inverse(X6)
| identity != multiply(identity,multiply(X6,identity))
| identity != multiply(X4,identity) )
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f117,f90]) ).
fof(f117,plain,
( ! [X3,X6,X4] :
( sk_c7 != multiply(X3,identity)
| identity != inverse(X4)
| identity != inverse(X3)
| identity != inverse(X6)
| identity != multiply(identity,multiply(X6,identity))
| identity != multiply(X4,identity) )
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f116,f75]) ).
fof(f116,plain,
( ! [X3,X6,X4] :
( identity != inverse(X4)
| identity != inverse(X3)
| identity != inverse(X6)
| identity != multiply(identity,multiply(X6,identity))
| identity != multiply(X4,identity)
| sk_c7 != multiply(X3,sk_c6) )
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f115,f75]) ).
fof(f115,plain,
( ! [X3,X6,X4] :
( identity != inverse(X3)
| identity != inverse(X6)
| identity != multiply(identity,multiply(X6,identity))
| identity != multiply(X4,identity)
| sk_c6 != inverse(X4)
| sk_c7 != multiply(X3,sk_c6) )
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f114,f75]) ).
fof(f114,plain,
( ! [X3,X6,X4] :
( identity != inverse(X6)
| identity != multiply(identity,multiply(X6,identity))
| identity != multiply(X4,identity)
| sk_c6 != inverse(X3)
| sk_c6 != inverse(X4)
| sk_c7 != multiply(X3,sk_c6) )
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f113,f75]) ).
fof(f113,plain,
( ! [X3,X6,X4] :
( identity != multiply(identity,multiply(X6,identity))
| identity != multiply(X4,identity)
| sk_c6 != inverse(X6)
| sk_c6 != inverse(X3)
| sk_c6 != inverse(X4)
| sk_c7 != multiply(X3,sk_c6) )
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f112,f75]) ).
fof(f112,plain,
( ! [X3,X6,X4] :
( identity != multiply(X4,identity)
| sk_c6 != multiply(sk_c6,multiply(X6,sk_c6))
| sk_c6 != inverse(X6)
| sk_c6 != inverse(X3)
| sk_c6 != inverse(X4)
| sk_c7 != multiply(X3,sk_c6) )
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f70,f75]) ).
fof(f122,plain,
( ! [X0] : multiply(identity,multiply(sk_c3,X0)) = X0
| spl0_1 ),
inference(forward_demodulation,[],[f121,f1]) ).
fof(f121,plain,
( ! [X0] : multiply(identity,X0) = multiply(identity,multiply(sk_c3,X0))
| spl0_1 ),
inference(superposition,[],[f3,f82]) ).
fof(f120,plain,
( identity = sk_c3
| spl0_1 ),
inference(superposition,[],[f1,f82]) ).
fof(f82,plain,
( identity = multiply(identity,sk_c3)
| spl0_1 ),
inference(superposition,[],[f41,f75]) ).
fof(f87,plain,
( identity = multiply(identity,sk_c7)
| spl0_1 ),
inference(superposition,[],[f65,f75]) ).
fof(f86,plain,
( identity = multiply(identity,sk_c4)
| spl0_1 ),
inference(superposition,[],[f59,f75]) ).
fof(f85,plain,
( ! [X0] : multiply(identity,multiply(sk_c3,X0)) = X0
| spl0_1 ),
inference(superposition,[],[f56,f75]) ).
fof(f84,plain,
( sk_c4 = multiply(sk_c3,identity)
| spl0_1 ),
inference(superposition,[],[f43,f75]) ).
fof(f96,plain,
( identity = multiply(identity,sk_c4)
| spl0_1 ),
inference(forward_demodulation,[],[f95,f75]) ).
fof(f95,plain,
( sk_c6 = multiply(identity,sk_c4)
| spl0_1 ),
inference(forward_demodulation,[],[f83,f62]) ).
fof(f83,plain,
( sk_c5 = multiply(identity,sk_c4)
| spl0_1 ),
inference(superposition,[],[f42,f75]) ).
fof(f78,plain,
( identity = multiply(identity,sk_c6)
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f37,f71]) ).
fof(f77,plain,
( identity = multiply(identity,sk_c7)
| spl0_1 ),
inference(superposition,[],[f39,f71]) ).
fof(f76,plain,
( identity = sk_c6
| spl0_1 ),
inference(superposition,[],[f62,f71]) ).
fof(f74,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c7,X0)) = X0
| spl0_1 ),
inference(forward_demodulation,[],[f73,f1]) ).
fof(f73,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(sk_c7,X0))
| spl0_1 ),
inference(superposition,[],[f3,f65]) ).
fof(f72,plain,
( identity = sk_c5
| spl0_1 ),
inference(superposition,[],[f4,f65]) ).
fof(f65,plain,
( identity = multiply(sk_c6,sk_c7)
| spl0_1 ),
inference(superposition,[],[f39,f62]) ).
fof(f70,plain,
( ! [X3,X6,X4] :
( sk_c6 != multiply(X4,sk_c6)
| sk_c6 != multiply(sk_c6,multiply(X6,sk_c6))
| sk_c6 != inverse(X6)
| sk_c6 != inverse(X3)
| sk_c6 != inverse(X4)
| sk_c7 != multiply(X3,sk_c6) )
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f69,f62]) ).
fof(f69,plain,
( ! [X3,X6,X4] :
( sk_c6 != multiply(sk_c6,multiply(X6,sk_c6))
| sk_c6 != inverse(X6)
| sk_c6 != inverse(X3)
| sk_c6 != inverse(X4)
| sk_c7 != multiply(X3,sk_c6)
| sk_c6 != multiply(X4,sk_c5) )
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f68,f62]) ).
fof(f68,plain,
( ! [X3,X6,X4] :
( sk_c6 != inverse(X6)
| sk_c6 != inverse(X3)
| sk_c6 != inverse(X4)
| sk_c7 != multiply(X3,sk_c6)
| sk_c5 != multiply(sk_c6,multiply(X6,sk_c6))
| sk_c6 != multiply(X4,sk_c5) )
| spl0_1
| ~ spl0_2 ),
inference(subsumption_resolution,[],[f67,f35]) ).
fof(f67,plain,
( ! [X3,X6,X4] :
( sk_c5 != inverse(sk_c6)
| sk_c6 != inverse(X6)
| sk_c6 != inverse(X3)
| sk_c6 != inverse(X4)
| sk_c7 != multiply(X3,sk_c6)
| sk_c5 != multiply(sk_c6,multiply(X6,sk_c6))
| sk_c6 != multiply(X4,sk_c5) )
| spl0_1 ),
inference(subsumption_resolution,[],[f27,f38]) ).
fof(f66,plain,
( identity = multiply(sk_c6,sk_c6)
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f37,f62]) ).
fof(f64,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c4,X0)) = multiply(sk_c6,X0)
| spl0_1 ),
inference(superposition,[],[f3,f59]) ).
fof(f63,plain,
( sk_c6 = sk_c5
| spl0_1 ),
inference(superposition,[],[f42,f59]) ).
fof(f59,plain,
( sk_c6 = multiply(sk_c6,sk_c4)
| spl0_1 ),
inference(superposition,[],[f56,f43]) ).
fof(f56,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c3,X0)) = X0
| spl0_1 ),
inference(forward_demodulation,[],[f48,f1]) ).
fof(f48,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(sk_c3,X0))
| spl0_1 ),
inference(superposition,[],[f3,f41]) ).
fof(f52,plain,
( ! [X0] : multiply(sk_c4,X0) = multiply(sk_c3,multiply(sk_c6,X0))
| spl0_1 ),
inference(superposition,[],[f3,f43]) ).
fof(f58,plain,
( ! [X0] : multiply(sk_c5,multiply(sk_c7,X0)) = X0
| spl0_1 ),
inference(forward_demodulation,[],[f51,f1]) ).
fof(f51,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c5,multiply(sk_c7,X0))
| spl0_1 ),
inference(superposition,[],[f3,f39]) ).
fof(f49,plain,
( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c6,multiply(sk_c4,X0))
| spl0_1 ),
inference(superposition,[],[f3,f42]) ).
fof(f43,plain,
( sk_c4 = multiply(sk_c3,sk_c6)
| spl0_1 ),
inference(subsumption_resolution,[],[f13,f30]) ).
fof(f42,plain,
( sk_c5 = multiply(sk_c6,sk_c4)
| spl0_1 ),
inference(subsumption_resolution,[],[f12,f30]) ).
fof(f41,plain,
( identity = multiply(sk_c6,sk_c3)
| spl0_1 ),
inference(superposition,[],[f2,f40]) ).
fof(f40,plain,
( sk_c6 = inverse(sk_c3)
| spl0_1 ),
inference(subsumption_resolution,[],[f14,f30]) ).
fof(f39,plain,
( identity = multiply(sk_c5,sk_c7)
| spl0_1 ),
inference(superposition,[],[f2,f38]) ).
fof(f38,plain,
( sk_c5 = inverse(sk_c7)
| spl0_1 ),
inference(subsumption_resolution,[],[f11,f30]) ).
fof(f37,plain,
( identity = multiply(sk_c5,sk_c6)
| ~ spl0_2 ),
inference(superposition,[],[f2,f35]) ).
fof(f10,axiom,
( sk_c5 = inverse(sk_c6)
| sk_c6 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
fof(f4,axiom,
multiply(sk_c6,sk_c7) = sk_c5,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
fof(f27,plain,
! [X3,X6,X4] :
( sk_c5 != inverse(sk_c7)
| sk_c5 != inverse(sk_c6)
| sk_c6 != inverse(X6)
| sk_c6 != inverse(X3)
| sk_c6 != inverse(X4)
| sk_c7 != multiply(X3,sk_c6)
| sk_c5 != multiply(sk_c6,multiply(X6,sk_c6))
| sk_c6 != multiply(X4,sk_c5) ),
inference(global_subsumption,[],[f4,f11,f16,f6,f21,f15,f10,f5,f20,f14,f19,f9,f24,f18,f13,f17,f12,f8,f23,f7,f22,f26]) ).
fof(f26,plain,
! [X3,X6,X4] :
( sk_c5 != inverse(sk_c7)
| sk_c5 != inverse(sk_c6)
| sk_c6 != inverse(X6)
| sk_c6 != inverse(X3)
| sk_c6 != inverse(X4)
| sk_c7 != multiply(X3,sk_c6)
| sk_c5 != multiply(sk_c6,multiply(X6,sk_c6))
| sk_c6 != multiply(X4,sk_c5)
| multiply(sk_c6,sk_c7) != sk_c5 ),
inference(equality_resolution,[],[f25]) ).
fof(f25,axiom,
! [X3,X6,X4,X5] :
( sk_c5 != inverse(sk_c7)
| sk_c5 != inverse(sk_c6)
| sk_c6 != inverse(X6)
| sk_c6 != inverse(X3)
| sk_c6 != inverse(X4)
| sk_c7 != multiply(X3,sk_c6)
| sk_c5 != multiply(sk_c6,X5)
| sk_c6 != multiply(X4,sk_c5)
| multiply(sk_c6,sk_c7) != sk_c5
| multiply(X6,sk_c6) != X5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).
fof(f15,axiom,
( sk_c5 = inverse(sk_c6)
| sk_c6 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
fof(f1699,plain,
~ spl0_9,
inference(avatar_contradiction_clause,[],[f1698]) ).
fof(f1698,plain,
( $false
| ~ spl0_9 ),
inference(subsumption_resolution,[],[f1697,f1004]) ).
fof(f1697,plain,
( identity != inverse(inverse(identity))
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1684,f1313]) ).
fof(f1684,plain,
( ! [X0] : identity != inverse(multiply(X0,inverse(multiply(identity,X0))))
| ~ spl0_9 ),
inference(trivial_inequality_removal,[],[f1683]) ).
fof(f1683,plain,
( ! [X0] :
( identity != identity
| identity != inverse(multiply(X0,inverse(multiply(identity,X0)))) )
| ~ spl0_9 ),
inference(superposition,[],[f1627,f1076]) ).
fof(f1627,plain,
( ! [X6] :
( identity != multiply(identity,X6)
| identity != inverse(X6) )
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f1626]) ).
fof(f1690,plain,
~ spl0_9,
inference(avatar_contradiction_clause,[],[f1689]) ).
fof(f1689,plain,
( $false
| ~ spl0_9 ),
inference(subsumption_resolution,[],[f1685,f1004]) ).
fof(f1685,plain,
( identity != inverse(inverse(identity))
| ~ spl0_9 ),
inference(trivial_inequality_removal,[],[f1680]) ).
fof(f1680,plain,
( identity != identity
| identity != inverse(inverse(identity))
| ~ spl0_9 ),
inference(superposition,[],[f1627,f981]) ).
fof(f1688,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f1687]) ).
fof(f1687,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9 ),
inference(subsumption_resolution,[],[f1686,f847]) ).
fof(f847,plain,
( identity = inverse(identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_6
| ~ spl0_7 ),
inference(forward_demodulation,[],[f767,f780]) ).
fof(f780,plain,
( identity = sk_c5
| ~ spl0_1
| ~ spl0_2
| ~ spl0_6
| ~ spl0_7 ),
inference(forward_demodulation,[],[f779,f763]) ).
fof(f763,plain,
( identity = sk_c6
| ~ spl0_1
| ~ spl0_2
| ~ spl0_6
| ~ spl0_7 ),
inference(forward_demodulation,[],[f758,f639]) ).
fof(f758,plain,
( sk_c6 = multiply(sk_c5,sk_c6)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_6
| ~ spl0_7 ),
inference(superposition,[],[f757,f669]) ).
fof(f669,plain,
( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c1,X0)
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f668,f1]) ).
fof(f668,plain,
( ! [X0] : multiply(sk_c5,multiply(identity,X0)) = multiply(sk_c1,X0)
| ~ spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f3,f664]) ).
fof(f664,plain,
( sk_c1 = multiply(sk_c5,identity)
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f483,f35]) ).
fof(f483,plain,
( sk_c1 = multiply(inverse(sk_c6),identity)
| ~ spl0_1 ),
inference(superposition,[],[f55,f163]) ).
fof(f163,plain,
( identity = multiply(sk_c6,sk_c1)
| ~ spl0_1 ),
inference(superposition,[],[f2,f31]) ).
fof(f31,plain,
( sk_c6 = inverse(sk_c1)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f29]) ).
fof(f779,plain,
( sk_c6 = sk_c5
| ~ spl0_1
| ~ spl0_2
| ~ spl0_6
| ~ spl0_7 ),
inference(forward_demodulation,[],[f778,f678]) ).
fof(f778,plain,
( sk_c7 = sk_c5
| ~ spl0_1
| ~ spl0_2
| ~ spl0_6
| ~ spl0_7 ),
inference(forward_demodulation,[],[f766,f1]) ).
fof(f766,plain,
( sk_c5 = multiply(identity,sk_c7)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_6
| ~ spl0_7 ),
inference(superposition,[],[f4,f763]) ).
fof(f767,plain,
( sk_c5 = inverse(identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_6
| ~ spl0_7 ),
inference(superposition,[],[f35,f763]) ).
fof(f1686,plain,
( identity != inverse(identity)
| ~ spl0_9 ),
inference(trivial_inequality_removal,[],[f1679]) ).
fof(f1679,plain,
( identity != identity
| identity != inverse(identity)
| ~ spl0_9 ),
inference(superposition,[],[f1627,f979]) ).
fof(f1677,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7 ),
inference(avatar_contradiction_clause,[],[f1676]) ).
fof(f1676,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7 ),
inference(subsumption_resolution,[],[f1675,f847]) ).
fof(f1675,plain,
( identity != inverse(identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7 ),
inference(forward_demodulation,[],[f1674,f811]) ).
fof(f811,plain,
( identity = sk_c1
| ~ spl0_1
| ~ spl0_2
| ~ spl0_6
| ~ spl0_7 ),
inference(forward_demodulation,[],[f798,f1]) ).
fof(f798,plain,
( sk_c1 = multiply(identity,identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_6
| ~ spl0_7 ),
inference(superposition,[],[f664,f780]) ).
fof(f1674,plain,
( identity != inverse(sk_c1)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7 ),
inference(subsumption_resolution,[],[f1673,f1]) ).
fof(f1673,plain,
( identity != multiply(identity,identity)
| identity != inverse(sk_c1)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7 ),
inference(forward_demodulation,[],[f1640,f780]) ).
fof(f1640,plain,
( identity != multiply(sk_c5,identity)
| identity != inverse(sk_c1)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4 ),
inference(superposition,[],[f160,f669]) ).
fof(f160,plain,
( ! [X4] :
( identity != multiply(X4,identity)
| identity != inverse(X4) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f159]) ).
fof(f159,plain,
( spl0_4
<=> ! [X4] :
( identity != inverse(X4)
| identity != multiply(X4,identity) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f1672,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f1671]) ).
fof(f1671,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8 ),
inference(subsumption_resolution,[],[f1670,f847]) ).
fof(f1670,plain,
( identity != inverse(identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8 ),
inference(forward_demodulation,[],[f1669,f780]) ).
fof(f1669,plain,
( identity != inverse(sk_c5)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8 ),
inference(subsumption_resolution,[],[f1639,f810]) ).
fof(f810,plain,
( identity = sk_c3
| ~ spl0_1
| ~ spl0_2
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8 ),
inference(forward_demodulation,[],[f797,f1]) ).
fof(f797,plain,
( sk_c3 = multiply(identity,identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8 ),
inference(superposition,[],[f659,f780]) ).
fof(f659,plain,
( sk_c3 = multiply(sk_c5,identity)
| ~ spl0_2
| ~ spl0_8 ),
inference(forward_demodulation,[],[f657,f35]) ).
fof(f657,plain,
( sk_c3 = multiply(inverse(sk_c6),identity)
| ~ spl0_8 ),
inference(superposition,[],[f55,f656]) ).
fof(f656,plain,
( identity = multiply(sk_c6,sk_c3)
| ~ spl0_8 ),
inference(superposition,[],[f2,f653]) ).
fof(f653,plain,
( sk_c6 = inverse(sk_c3)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f651]) ).
fof(f651,plain,
( spl0_8
<=> sk_c6 = inverse(sk_c3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f1639,plain,
( identity != sk_c3
| identity != inverse(sk_c5)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_8 ),
inference(superposition,[],[f160,f659]) ).
fof(f1668,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7 ),
inference(avatar_contradiction_clause,[],[f1667]) ).
fof(f1667,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7 ),
inference(subsumption_resolution,[],[f1666,f847]) ).
fof(f1666,plain,
( identity != inverse(identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7 ),
inference(forward_demodulation,[],[f1665,f780]) ).
fof(f1665,plain,
( identity != inverse(sk_c5)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7 ),
inference(subsumption_resolution,[],[f1638,f811]) ).
fof(f1638,plain,
( identity != sk_c1
| identity != inverse(sk_c5)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4 ),
inference(superposition,[],[f160,f664]) ).
fof(f1662,plain,
~ spl0_4,
inference(avatar_contradiction_clause,[],[f1661]) ).
fof(f1661,plain,
( $false
| ~ spl0_4 ),
inference(subsumption_resolution,[],[f1660,f1004]) ).
fof(f1660,plain,
( identity != inverse(inverse(identity))
| ~ spl0_4 ),
inference(forward_demodulation,[],[f1641,f1004]) ).
fof(f1641,plain,
( identity != inverse(inverse(inverse(inverse(identity))))
| ~ spl0_4 ),
inference(trivial_inequality_removal,[],[f1636]) ).
fof(f1636,plain,
( identity != identity
| identity != inverse(inverse(inverse(inverse(identity))))
| ~ spl0_4 ),
inference(superposition,[],[f160,f925]) ).
fof(f1658,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7 ),
inference(avatar_contradiction_clause,[],[f1657]) ).
fof(f1657,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7 ),
inference(subsumption_resolution,[],[f1656,f1004]) ).
fof(f1656,plain,
( identity != inverse(inverse(identity))
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7 ),
inference(forward_demodulation,[],[f1655,f780]) ).
fof(f1655,plain,
( identity != inverse(inverse(sk_c5))
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7 ),
inference(subsumption_resolution,[],[f1634,f804]) ).
fof(f804,plain,
( identity = sk_c7
| ~ spl0_1
| ~ spl0_2
| ~ spl0_6
| ~ spl0_7 ),
inference(forward_demodulation,[],[f792,f2]) ).
fof(f792,plain,
( sk_c7 = multiply(inverse(identity),identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_6
| ~ spl0_7 ),
inference(superposition,[],[f574,f780]) ).
fof(f1634,plain,
( identity != sk_c7
| identity != inverse(inverse(sk_c5))
| ~ spl0_4
| ~ spl0_6 ),
inference(superposition,[],[f160,f574]) ).
fof(f1654,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7 ),
inference(avatar_contradiction_clause,[],[f1653]) ).
fof(f1653,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7 ),
inference(subsumption_resolution,[],[f1652,f1004]) ).
fof(f1652,plain,
( identity != inverse(inverse(identity))
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7 ),
inference(forward_demodulation,[],[f1651,f780]) ).
fof(f1651,plain,
( identity != inverse(inverse(sk_c5))
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7 ),
inference(subsumption_resolution,[],[f1633,f763]) ).
fof(f1633,plain,
( identity != sk_c6
| identity != inverse(inverse(sk_c5))
| ~ spl0_2
| ~ spl0_4 ),
inference(superposition,[],[f160,f640]) ).
fof(f1650,plain,
~ spl0_4,
inference(avatar_contradiction_clause,[],[f1649]) ).
fof(f1649,plain,
( $false
| ~ spl0_4 ),
inference(subsumption_resolution,[],[f1642,f1004]) ).
fof(f1642,plain,
( identity != inverse(inverse(identity))
| ~ spl0_4 ),
inference(trivial_inequality_removal,[],[f1632]) ).
fof(f1632,plain,
( identity != identity
| identity != inverse(inverse(identity))
| ~ spl0_4 ),
inference(superposition,[],[f160,f2]) ).
fof(f1645,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7 ),
inference(avatar_contradiction_clause,[],[f1644]) ).
fof(f1644,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7 ),
inference(subsumption_resolution,[],[f1643,f847]) ).
fof(f1643,plain,
( identity != inverse(identity)
| ~ spl0_4 ),
inference(trivial_inequality_removal,[],[f1630]) ).
fof(f1630,plain,
( identity != identity
| identity != inverse(identity)
| ~ spl0_4 ),
inference(superposition,[],[f160,f1]) ).
fof(f1628,plain,
( spl0_4
| spl0_4
| spl0_9
| ~ spl0_1
| ~ spl0_2
| ~ spl0_6
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f1112,f647,f191,f33,f29,f1626,f159,f159]) ).
fof(f1112,plain,
( ! [X3,X6,X4] :
( identity != multiply(identity,X6)
| identity != multiply(X4,identity)
| identity != multiply(X3,identity)
| identity != inverse(X4)
| identity != inverse(X3)
| identity != inverse(X6) )
| ~ spl0_1
| ~ spl0_2
| ~ spl0_6
| ~ spl0_7 ),
inference(forward_demodulation,[],[f945,f979]) ).
fof(f945,plain,
( ! [X3,X6,X4] :
( identity != multiply(X4,identity)
| identity != multiply(identity,multiply(X6,identity))
| identity != multiply(X3,identity)
| identity != inverse(X4)
| identity != inverse(X3)
| identity != inverse(X6) )
| ~ spl0_1
| ~ spl0_2
| ~ spl0_6
| ~ spl0_7 ),
inference(forward_demodulation,[],[f944,f763]) ).
fof(f944,plain,
( ! [X3,X6,X4] :
( sk_c6 != multiply(X4,identity)
| identity != multiply(identity,multiply(X6,identity))
| identity != multiply(X3,identity)
| identity != inverse(X4)
| identity != inverse(X3)
| identity != inverse(X6) )
| ~ spl0_1
| ~ spl0_2
| ~ spl0_6
| ~ spl0_7 ),
inference(forward_demodulation,[],[f943,f780]) ).
fof(f943,plain,
( ! [X3,X6,X4] :
( identity != multiply(identity,multiply(X6,identity))
| identity != multiply(X3,identity)
| identity != inverse(X4)
| identity != inverse(X3)
| identity != inverse(X6)
| sk_c6 != multiply(X4,sk_c5) )
| ~ spl0_1
| ~ spl0_2
| ~ spl0_6
| ~ spl0_7 ),
inference(forward_demodulation,[],[f942,f780]) ).
fof(f942,plain,
( ! [X3,X6,X4] :
( sk_c5 != multiply(identity,multiply(X6,identity))
| identity != multiply(X3,identity)
| identity != inverse(X4)
| identity != inverse(X3)
| identity != inverse(X6)
| sk_c6 != multiply(X4,sk_c5) )
| ~ spl0_1
| ~ spl0_2
| ~ spl0_6
| ~ spl0_7 ),
inference(forward_demodulation,[],[f941,f763]) ).
fof(f941,plain,
( ! [X3,X6,X4] :
( identity != multiply(X3,identity)
| identity != inverse(X4)
| identity != inverse(X3)
| identity != inverse(X6)
| sk_c5 != multiply(sk_c6,multiply(X6,sk_c6))
| sk_c6 != multiply(X4,sk_c5) )
| ~ spl0_1
| ~ spl0_2
| ~ spl0_6
| ~ spl0_7 ),
inference(forward_demodulation,[],[f940,f763]) ).
fof(f940,plain,
( ! [X3,X6,X4] :
( sk_c6 != multiply(X3,identity)
| identity != inverse(X4)
| identity != inverse(X3)
| identity != inverse(X6)
| sk_c5 != multiply(sk_c6,multiply(X6,sk_c6))
| sk_c6 != multiply(X4,sk_c5) )
| ~ spl0_1
| ~ spl0_2
| ~ spl0_6
| ~ spl0_7 ),
inference(forward_demodulation,[],[f939,f678]) ).
fof(f939,plain,
( ! [X3,X6,X4] :
( sk_c7 != multiply(X3,identity)
| identity != inverse(X4)
| identity != inverse(X3)
| identity != inverse(X6)
| sk_c5 != multiply(sk_c6,multiply(X6,sk_c6))
| sk_c6 != multiply(X4,sk_c5) )
| ~ spl0_1
| ~ spl0_2
| ~ spl0_6
| ~ spl0_7 ),
inference(forward_demodulation,[],[f938,f763]) ).
fof(f938,plain,
( ! [X3,X6,X4] :
( identity != inverse(X4)
| identity != inverse(X3)
| identity != inverse(X6)
| sk_c7 != multiply(X3,sk_c6)
| sk_c5 != multiply(sk_c6,multiply(X6,sk_c6))
| sk_c6 != multiply(X4,sk_c5) )
| ~ spl0_1
| ~ spl0_2
| ~ spl0_6
| ~ spl0_7 ),
inference(forward_demodulation,[],[f937,f763]) ).
fof(f937,plain,
( ! [X3,X6,X4] :
( identity != inverse(X3)
| identity != inverse(X6)
| sk_c6 != inverse(X4)
| sk_c7 != multiply(X3,sk_c6)
| sk_c5 != multiply(sk_c6,multiply(X6,sk_c6))
| sk_c6 != multiply(X4,sk_c5) )
| ~ spl0_1
| ~ spl0_2
| ~ spl0_6
| ~ spl0_7 ),
inference(forward_demodulation,[],[f936,f763]) ).
fof(f936,plain,
( ! [X3,X6,X4] :
( identity != inverse(X6)
| sk_c6 != inverse(X3)
| sk_c6 != inverse(X4)
| sk_c7 != multiply(X3,sk_c6)
| sk_c5 != multiply(sk_c6,multiply(X6,sk_c6))
| sk_c6 != multiply(X4,sk_c5) )
| ~ spl0_1
| ~ spl0_2
| ~ spl0_6
| ~ spl0_7 ),
inference(forward_demodulation,[],[f632,f763]) ).
fof(f752,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_6
| spl0_7
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f751]) ).
fof(f751,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_6
| spl0_7
| ~ spl0_8 ),
inference(subsumption_resolution,[],[f750,f738]) ).
fof(f738,plain,
( identity != sk_c6
| ~ spl0_1
| ~ spl0_2
| ~ spl0_6
| spl0_7 ),
inference(superposition,[],[f732,f678]) ).
fof(f732,plain,
( identity != sk_c7
| ~ spl0_1
| ~ spl0_2
| spl0_7 ),
inference(forward_demodulation,[],[f729,f639]) ).
fof(f729,plain,
( sk_c7 != multiply(sk_c5,sk_c6)
| ~ spl0_1
| ~ spl0_2
| spl0_7 ),
inference(superposition,[],[f648,f669]) ).
fof(f648,plain,
( sk_c7 != multiply(sk_c1,sk_c6)
| spl0_7 ),
inference(avatar_component_clause,[],[f647]) ).
fof(f750,plain,
( identity = sk_c6
| ~ spl0_1
| ~ spl0_2
| ~ spl0_6
| spl0_7
| ~ spl0_8 ),
inference(forward_demodulation,[],[f741,f639]) ).
fof(f741,plain,
( sk_c6 = multiply(sk_c5,sk_c6)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_6
| spl0_7
| ~ spl0_8 ),
inference(superposition,[],[f669,f737]) ).
fof(f737,plain,
( sk_c6 = multiply(sk_c1,sk_c6)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_6
| spl0_7
| ~ spl0_8 ),
inference(forward_demodulation,[],[f736,f706]) ).
fof(f706,plain,
( sk_c6 = sk_c4
| ~ spl0_2
| ~ spl0_6
| spl0_7 ),
inference(forward_demodulation,[],[f705,f678]) ).
fof(f705,plain,
( sk_c7 = sk_c4
| ~ spl0_2
| spl0_7 ),
inference(forward_demodulation,[],[f704,f643]) ).
fof(f704,plain,
( sk_c4 = multiply(sk_c5,sk_c5)
| ~ spl0_2
| spl0_7 ),
inference(forward_demodulation,[],[f702,f35]) ).
fof(f702,plain,
( sk_c4 = multiply(inverse(sk_c6),sk_c5)
| spl0_7 ),
inference(superposition,[],[f55,f701]) ).
fof(f701,plain,
( sk_c5 = multiply(sk_c6,sk_c4)
| spl0_7 ),
inference(subsumption_resolution,[],[f7,f648]) ).
fof(f736,plain,
( multiply(sk_c1,sk_c6) = sk_c4
| ~ spl0_1
| ~ spl0_2
| spl0_7
| ~ spl0_8 ),
inference(forward_demodulation,[],[f735,f665]) ).
fof(f665,plain,
( sk_c1 = sk_c3
| ~ spl0_1
| ~ spl0_2
| ~ spl0_8 ),
inference(superposition,[],[f664,f659]) ).
fof(f735,plain,
( sk_c4 = multiply(sk_c3,sk_c6)
| spl0_7 ),
inference(subsumption_resolution,[],[f8,f648]) ).
fof(f749,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_6
| spl0_7
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f748]) ).
fof(f748,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_6
| spl0_7
| ~ spl0_8 ),
inference(subsumption_resolution,[],[f740,f678]) ).
fof(f740,plain,
( sk_c6 != sk_c7
| ~ spl0_1
| ~ spl0_2
| ~ spl0_6
| spl0_7
| ~ spl0_8 ),
inference(superposition,[],[f648,f737]) ).
fof(f747,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_6
| spl0_7
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f746]) ).
fof(f746,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_6
| spl0_7
| ~ spl0_8 ),
inference(subsumption_resolution,[],[f745,f738]) ).
fof(f745,plain,
( identity = sk_c6
| ~ spl0_1
| ~ spl0_2
| ~ spl0_6
| spl0_7
| ~ spl0_8 ),
inference(forward_demodulation,[],[f739,f639]) ).
fof(f739,plain,
( sk_c6 = multiply(sk_c5,sk_c6)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_6
| spl0_7
| ~ spl0_8 ),
inference(superposition,[],[f737,f669]) ).
fof(f654,plain,
( spl0_7
| spl0_8 ),
inference(avatar_split_clause,[],[f9,f651,f647]) ).
fof(f627,plain,
( ~ spl0_1
| spl0_2
| ~ spl0_6 ),
inference(avatar_contradiction_clause,[],[f626]) ).
fof(f626,plain,
( $false
| ~ spl0_1
| spl0_2
| ~ spl0_6 ),
inference(subsumption_resolution,[],[f625,f579]) ).
fof(f579,plain,
( sk_c6 = sk_c5
| ~ spl0_1
| spl0_2 ),
inference(superposition,[],[f573,f4]) ).
fof(f573,plain,
( sk_c6 = multiply(sk_c6,sk_c7)
| ~ spl0_1
| spl0_2 ),
inference(forward_demodulation,[],[f571,f31]) ).
fof(f571,plain,
( sk_c6 = multiply(inverse(sk_c1),sk_c7)
| spl0_2 ),
inference(superposition,[],[f55,f556]) ).
fof(f556,plain,
( sk_c7 = multiply(sk_c1,sk_c6)
| spl0_2 ),
inference(global_subsumption,[],[f15,f5,f26,f27,f4,f1,f2,f10,f3,f47,f7,f24,f21,f18,f17,f13,f12,f9,f6,f19,f14,f11,f16,f20,f34,f55,f471,f472,f473,f482,f470,f23,f554,f22,f555,f8]) ).
fof(f555,plain,
( sk_c6 = multiply(sk_c2,sk_c5)
| spl0_2 ),
inference(global_subsumption,[],[f15,f5,f26,f27,f4,f1,f2,f10,f3,f47,f8,f7,f24,f21,f18,f17,f13,f12,f9,f6,f19,f14,f11,f16,f20,f34,f55,f471,f472,f473,f482,f470,f23,f554,f22]) ).
fof(f554,plain,
( sk_c6 = multiply(sk_c2,sk_c5)
| spl0_2 ),
inference(global_subsumption,[],[f15,f5,f26,f27,f4,f1,f2,f10,f3,f47,f22,f8,f7,f24,f21,f18,f17,f13,f12,f9,f6,f19,f14,f11,f16,f20,f34,f55,f471,f472,f473,f482,f470,f23]) ).
fof(f34,plain,
( sk_c5 != inverse(sk_c6)
| spl0_2 ),
inference(avatar_component_clause,[],[f33]) ).
fof(f625,plain,
( sk_c6 != sk_c5
| ~ spl0_1
| spl0_2
| ~ spl0_6 ),
inference(forward_demodulation,[],[f611,f591]) ).
fof(f591,plain,
( sk_c6 = inverse(identity)
| ~ spl0_1
| spl0_2
| ~ spl0_6 ),
inference(forward_demodulation,[],[f587,f579]) ).
fof(f587,plain,
( sk_c5 = inverse(identity)
| ~ spl0_1
| spl0_2
| ~ spl0_6 ),
inference(superposition,[],[f193,f583]) ).
fof(f583,plain,
( identity = sk_c7
| ~ spl0_1
| spl0_2 ),
inference(forward_demodulation,[],[f581,f2]) ).
fof(f581,plain,
( sk_c7 = multiply(inverse(sk_c6),sk_c6)
| ~ spl0_1
| spl0_2 ),
inference(superposition,[],[f55,f573]) ).
fof(f611,plain,
( sk_c5 != inverse(identity)
| ~ spl0_1
| spl0_2
| ~ spl0_6 ),
inference(superposition,[],[f34,f605]) ).
fof(f605,plain,
( identity = sk_c6
| ~ spl0_1
| spl0_2
| ~ spl0_6 ),
inference(superposition,[],[f592,f589]) ).
fof(f589,plain,
( sk_c6 = multiply(sk_c6,identity)
| ~ spl0_1
| spl0_2 ),
inference(superposition,[],[f573,f583]) ).
fof(f592,plain,
( identity = multiply(sk_c6,identity)
| ~ spl0_1
| spl0_2
| ~ spl0_6 ),
inference(forward_demodulation,[],[f588,f579]) ).
fof(f588,plain,
( identity = multiply(sk_c5,identity)
| ~ spl0_1
| spl0_2
| ~ spl0_6 ),
inference(superposition,[],[f565,f583]) ).
fof(f546,plain,
( ~ spl0_1
| ~ spl0_5
| spl0_6 ),
inference(avatar_contradiction_clause,[],[f545]) ).
fof(f545,plain,
( $false
| ~ spl0_1
| ~ spl0_5
| spl0_6 ),
inference(subsumption_resolution,[],[f544,f300]) ).
fof(f300,plain,
( sk_c6 = sk_c5
| ~ spl0_1
| spl0_6 ),
inference(superposition,[],[f206,f4]) ).
fof(f206,plain,
( sk_c6 = multiply(sk_c6,sk_c7)
| ~ spl0_1
| spl0_6 ),
inference(superposition,[],[f165,f203]) ).
fof(f203,plain,
( sk_c7 = multiply(sk_c1,sk_c6)
| spl0_6 ),
inference(subsumption_resolution,[],[f6,f192]) ).
fof(f192,plain,
( sk_c5 != inverse(sk_c7)
| spl0_6 ),
inference(avatar_component_clause,[],[f191]) ).
fof(f165,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c1,X0)) = X0
| ~ spl0_1 ),
inference(forward_demodulation,[],[f164,f1]) ).
fof(f164,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(sk_c1,X0))
| ~ spl0_1 ),
inference(superposition,[],[f3,f163]) ).
fof(f544,plain,
( sk_c6 != sk_c5
| ~ spl0_1
| ~ spl0_5
| spl0_6 ),
inference(forward_demodulation,[],[f535,f411]) ).
fof(f411,plain,
( sk_c6 = inverse(identity)
| ~ spl0_1
| ~ spl0_5
| spl0_6 ),
inference(superposition,[],[f31,f383]) ).
fof(f383,plain,
( identity = sk_c1
| ~ spl0_1
| ~ spl0_5
| spl0_6 ),
inference(superposition,[],[f370,f163]) ).
fof(f370,plain,
( ! [X0] : multiply(sk_c6,X0) = X0
| ~ spl0_1
| ~ spl0_5
| spl0_6 ),
inference(superposition,[],[f199,f353]) ).
fof(f353,plain,
( ! [X0] : multiply(sk_c2,X0) = X0
| ~ spl0_1
| spl0_6 ),
inference(superposition,[],[f341,f165]) ).
fof(f341,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c2,multiply(sk_c6,X0))
| ~ spl0_1
| spl0_6 ),
inference(forward_demodulation,[],[f299,f300]) ).
fof(f299,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c2,multiply(sk_c5,X0))
| spl0_6 ),
inference(superposition,[],[f3,f253]) ).
fof(f253,plain,
( sk_c6 = multiply(sk_c2,sk_c5)
| spl0_6 ),
inference(subsumption_resolution,[],[f21,f192]) ).
fof(f199,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c2,X0)) = X0
| ~ spl0_5 ),
inference(forward_demodulation,[],[f197,f1]) ).
fof(f197,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(sk_c2,X0))
| ~ spl0_5 ),
inference(superposition,[],[f3,f195]) ).
fof(f195,plain,
( identity = multiply(sk_c6,sk_c2)
| ~ spl0_5 ),
inference(superposition,[],[f2,f189]) ).
fof(f189,plain,
( sk_c6 = inverse(sk_c2)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f187]) ).
fof(f187,plain,
( spl0_5
<=> sk_c6 = inverse(sk_c2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f535,plain,
( sk_c5 != inverse(identity)
| ~ spl0_1
| spl0_6 ),
inference(superposition,[],[f192,f510]) ).
fof(f510,plain,
( identity = sk_c7
| ~ spl0_1
| spl0_6 ),
inference(forward_demodulation,[],[f509,f2]) ).
fof(f509,plain,
( sk_c7 = multiply(inverse(sk_c6),sk_c6)
| ~ spl0_1
| spl0_6 ),
inference(forward_demodulation,[],[f482,f300]) ).
fof(f276,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_5
| spl0_6 ),
inference(avatar_contradiction_clause,[],[f275]) ).
fof(f275,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_5
| spl0_6 ),
inference(subsumption_resolution,[],[f274,f226]) ).
fof(f226,plain,
( sk_c6 != inverse(identity)
| ~ spl0_1
| ~ spl0_2
| spl0_6 ),
inference(forward_demodulation,[],[f210,f212]) ).
fof(f212,plain,
( sk_c6 = sk_c5
| ~ spl0_1
| ~ spl0_2
| spl0_6 ),
inference(forward_demodulation,[],[f211,f180]) ).
fof(f180,plain,
( sk_c6 = multiply(sk_c6,identity)
| ~ spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f176,f37]) ).
fof(f176,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c5,X0)) = X0
| ~ spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f165,f173]) ).
fof(f173,plain,
( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c1,X0)
| ~ spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f57,f165]) ).
fof(f211,plain,
( sk_c5 = multiply(sk_c6,identity)
| ~ spl0_1
| ~ spl0_2
| spl0_6 ),
inference(superposition,[],[f4,f208]) ).
fof(f208,plain,
( identity = sk_c7
| ~ spl0_1
| ~ spl0_2
| spl0_6 ),
inference(forward_demodulation,[],[f204,f37]) ).
fof(f204,plain,
( sk_c7 = multiply(sk_c5,sk_c6)
| ~ spl0_1
| ~ spl0_2
| spl0_6 ),
inference(superposition,[],[f203,f173]) ).
fof(f210,plain,
( sk_c5 != inverse(identity)
| ~ spl0_1
| ~ spl0_2
| spl0_6 ),
inference(superposition,[],[f192,f208]) ).
fof(f274,plain,
( sk_c6 = inverse(identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_5
| spl0_6 ),
inference(forward_demodulation,[],[f259,f212]) ).
fof(f259,plain,
( sk_c5 = inverse(identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_5
| spl0_6 ),
inference(superposition,[],[f35,f257]) ).
fof(f257,plain,
( identity = sk_c6
| ~ spl0_1
| ~ spl0_2
| ~ spl0_5
| spl0_6 ),
inference(forward_demodulation,[],[f256,f217]) ).
fof(f217,plain,
( identity = multiply(sk_c6,sk_c6)
| ~ spl0_1
| ~ spl0_2
| spl0_6 ),
inference(superposition,[],[f37,f212]) ).
fof(f256,plain,
( sk_c6 = multiply(sk_c6,sk_c6)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_5
| spl0_6 ),
inference(forward_demodulation,[],[f255,f218]) ).
fof(f218,plain,
( sk_c6 = sk_c1
| ~ spl0_1
| ~ spl0_2
| spl0_6 ),
inference(forward_demodulation,[],[f214,f180]) ).
fof(f214,plain,
( sk_c1 = multiply(sk_c6,identity)
| ~ spl0_1
| ~ spl0_2
| spl0_6 ),
inference(superposition,[],[f167,f212]) ).
fof(f167,plain,
( sk_c1 = multiply(sk_c5,identity)
| ~ spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f57,f163]) ).
fof(f255,plain,
( sk_c6 = multiply(sk_c1,sk_c6)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_5
| spl0_6 ),
inference(forward_demodulation,[],[f254,f198]) ).
fof(f198,plain,
( sk_c1 = sk_c2
| ~ spl0_1
| ~ spl0_2
| ~ spl0_5 ),
inference(forward_demodulation,[],[f196,f167]) ).
fof(f196,plain,
( sk_c2 = multiply(sk_c5,identity)
| ~ spl0_2
| ~ spl0_5 ),
inference(superposition,[],[f57,f195]) ).
fof(f254,plain,
( sk_c6 = multiply(sk_c2,sk_c6)
| ~ spl0_1
| ~ spl0_2
| spl0_6 ),
inference(forward_demodulation,[],[f253,f212]) ).
fof(f194,plain,
( spl0_5
| spl0_6 ),
inference(avatar_split_clause,[],[f16,f191,f187]) ).
fof(f161,plain,
( spl0_3
| spl0_4
| spl0_4
| spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f118,f33,f29,f159,f159,f156]) ).
fof(f36,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f10,f33,f29]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP334-1 : TPTP v8.1.2. Released v2.5.0.
% 0.07/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36 % Computer : n026.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Fri May 3 20:44:08 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.37 % (6174)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.38 % (6177)WARNING: value z3 for option sas not known
% 0.14/0.38 % (6178)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.38 % (6176)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.38 % (6179)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.14/0.38 % (6177)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.38 % (6180)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.14/0.38 % (6181)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.14/0.38 % (6175)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.39 TRYING [1]
% 0.14/0.39 TRYING [2]
% 0.14/0.39 TRYING [1]
% 0.14/0.39 TRYING [3]
% 0.14/0.39 TRYING [2]
% 0.14/0.40 TRYING [4]
% 0.14/0.40 TRYING [3]
% 0.21/0.41 TRYING [4]
% 0.21/0.41 TRYING [5]
% 0.21/0.42 % (6177)First to succeed.
% 0.21/0.43 % (6177)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-6174"
% 0.21/0.43 % (6177)Refutation found. Thanks to Tanya!
% 0.21/0.43 % SZS status Unsatisfiable for theBenchmark
% 0.21/0.43 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.44 % (6177)------------------------------
% 0.21/0.44 % (6177)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.21/0.44 % (6177)Termination reason: Refutation
% 0.21/0.44
% 0.21/0.44 % (6177)Memory used [KB]: 1305
% 0.21/0.44 % (6177)Time elapsed: 0.047 s
% 0.21/0.44 % (6177)Instructions burned: 87 (million)
% 0.21/0.44 % (6174)Success in time 0.065 s
%------------------------------------------------------------------------------